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Paper Citation Record · LEDGER

The $q$-extension of iterated integrals and nested sums in quantum field theory

As of 17 August 2026, this Paper Citation Record lists 100 of 261 outbound references and 0 inbound Pith citation observations for arXiv:2608.02702.

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pith.paper-citation-record.v1
2608.02702 v1

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measured 100 of 261 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T15:08:56.424062Z

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100 of 261 outbound references displayed

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Outbound references

Observation 03aaed85-5626-469f-9b0b-992325d0e4a6 · outbound

This paper cites Ernst,A Comprehensive Treatment ofq-Calculus, (Springer (Birkh ¨auser), Basel, 2012).

The $q$-extension of iterated integrals and nested sums in quantum field theory Ernst,A Comprehensive Treatment ofq-Calculus, (Springer (Birkh ¨auser), Basel, 2012)

Reference 1

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source=pdf_text observed=2026-08-15T15:08:56.055985Z digest=sha256:337c338c08ebb0349a27e68fa9d96f6648e97467e3d8a8da2b3b136c4f82091e

Observation ac290863-5772-48b8-be26-0eee8ebf7c39 · outbound

This paper cites Heine, ¨Uber die Reihe 1+ ...(Aus einem Schreiben an Lejeune Dirichlet), J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Heine, ¨Uber die Reihe 1+ ...(Aus einem Schreiben an Lejeune Dirichlet), J

Reference 2

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source=pdf_text observed=2026-08-15T15:08:56.061308Z digest=sha256:98c11d7c0145e56e8f95e73df15a7fd7769afe8bc268dfadb5bb1dffb3a1dfea

Observation 98b6bcd6-7c95-4633-804a-20a05c1a2078 · outbound

This paper cites Heine,Theorie der Kugelfunctionen und der verwandten Functionen, (Verlag G.

The $q$-extension of iterated integrals and nested sums in quantum field theory Heine,Theorie der Kugelfunctionen und der verwandten Functionen, (Verlag G

Reference 3

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Observation ea4de108-3894-46a5-b228-aaafcc723b12 · outbound

This paper cites Bailey,Generalized Hypergeometric Series, (Cambridge University Press, Cambridge, 1935).

The $q$-extension of iterated integrals and nested sums in quantum field theory Bailey,Generalized Hypergeometric Series, (Cambridge University Press, Cambridge, 1935)

Reference 4

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Observation 73fe2d40-00ea-43fc-bb74-ff8ec0707c10 · outbound

This paper cites Slater,Generalized Hypergeometric Functions, (Cambridge University Press, Cambridge, 1966).

The $q$-extension of iterated integrals and nested sums in quantum field theory Slater,Generalized Hypergeometric Functions, (Cambridge University Press, Cambridge, 1966)

Reference 5

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Observation 5754f812-4acf-4c4b-9894-64ca5f907062 · outbound

This paper cites Exton,q-Hypergeometric Functions and Applications, (Ellis Horwood, Chichester, 1983).

The $q$-extension of iterated integrals and nested sums in quantum field theory Exton,q-Hypergeometric Functions and Applications, (Ellis Horwood, Chichester, 1983)

Reference 6

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Observation 19805fa7-a15d-4ac6-b730-fb8518832a95 · outbound

This paper cites Gasper and M.

The $q$-extension of iterated integrals and nested sums in quantum field theory Gasper and M

Reference 7

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Observation 8a182884-ea72-4e5f-aabd-1e2ebc4b3ae9 · outbound

This paper cites Petkovˇ sek, H.

The $q$-extension of iterated integrals and nested sums in quantum field theory Petkovˇ sek, H

Reference 8

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Observation 78688ca6-068c-4a92-a838-8527b1e565bd · outbound

This paper cites Special functions and q-commuting variables.

The $q$-extension of iterated integrals and nested sums in quantum field theory Special functions and q-commuting variables

Reference 9

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source=pdf_text observed=2026-08-15T15:08:56.089737Z digest=sha256:5a827d0f00c01eca8a4cea7e2ee224668f9aceb7787cf04ddc106a71ced8db6c

Observation e94cfe34-80cc-436d-a42e-05792d7b923a · outbound

This paper cites The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue.

The $q$-extension of iterated integrals and nested sums in quantum field theory The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

Reference 10

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Observation c4004259-d581-44d2-a38b-647cdba3839e · outbound

This paper cites Andrews, R.

The $q$-extension of iterated integrals and nested sums in quantum field theory Andrews, R

Reference 11

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Observation 89fe243a-51c8-424c-ba8b-69ea2661ac12 · outbound

This paper cites Kac and P.

The $q$-extension of iterated integrals and nested sums in quantum field theory Kac and P

Reference 12

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Observation f4b35b0e-212d-4097-a974-e3f5cc4628be · outbound

This paper cites Olver, D.W.

The $q$-extension of iterated integrals and nested sums in quantum field theory Olver, D.W

Reference 13

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Observation 5df6abe9-13fc-4216-acf0-2150add3bf4e · outbound

This paper cites Ismail,Lectures on q-orthogonal polynomials,Special Functions 2000: Current Perspective and Future Directions, Eds.

The $q$-extension of iterated integrals and nested sums in quantum field theory Ismail,Lectures on q-orthogonal polynomials,Special Functions 2000: Current Perspective and Future Directions, Eds

Reference 14

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Observation 1ba8555f-0af6-44ad-abd8-f6b603d0527a · outbound

This paper cites Ismail,Classical and Quantum Orthogonal Polynomials in One Variable, (Cambridge University Press, Cambridge, 2005).

The $q$-extension of iterated integrals and nested sums in quantum field theory Ismail,Classical and Quantum Orthogonal Polynomials in One Variable, (Cambridge University Press, Cambridge, 2005)

Reference 15

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source=pdf_text observed=2026-08-15T15:08:56.112293Z digest=sha256:b74963d67a7beabbaed8cf65e7e06e3d10d9189f5201265a138f6e7b23537a0f

Observation d4282075-46ea-479f-b8f3-fd69e6fe6b6e · outbound

This paper cites Koepf, P.M.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koepf, P.M

Reference 16

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Observation 6fd37c67-e31c-42f0-8dd8-3e317aaef078 · outbound

This paper cites Johnson,An Introduction toq-analysis, (AMS, Providence, RI, 2020).

The $q$-extension of iterated integrals and nested sums in quantum field theory Johnson,An Introduction toq-analysis, (AMS, Providence, RI, 2020)

Reference 17

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Observation a836c675-68d1-4b2a-9a66-295eaa17c42a · outbound

This paper cites Hypergeometric Structures in Feynman Integrals.

The $q$-extension of iterated integrals and nested sums in quantum field theory Hypergeometric Structures in Feynman Integrals

Reference 18

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Observation e3d1b8dc-fb6b-4c49-b387-7869133f043f · outbound

This paper cites Feynman integrals and Fox functions.

The $q$-extension of iterated integrals and nested sums in quantum field theory Feynman integrals and Fox functions

Reference 19

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Observation 72cecae0-c278-44ee-a543-7cebd7eb8903 · outbound

This paper cites Ernst,On the symmetricq-Lauricella functions, Proc.

The $q$-extension of iterated integrals and nested sums in quantum field theory Ernst,On the symmetricq-Lauricella functions, Proc

Reference 20

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Observation 4cb7321c-c5ad-45ae-b2c7-614c24726e41 · outbound

This paper cites Ernst,Convergence aspects forq-Appell functions I, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Ernst,Convergence aspects forq-Appell functions I, J

Reference 21

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Observation 05ca949e-00cf-4010-a422-59f883cfe5e7 · outbound

This paper cites Ernst,On the Triple Lauricella-Horn-Karlssonq-Hypergeometric Functions, Axioms9(2020) 93, 15 pp.

The $q$-extension of iterated integrals and nested sums in quantum field theory Ernst,On the Triple Lauricella-Horn-Karlssonq-Hypergeometric Functions, Axioms9(2020) 93, 15 pp

Reference 22

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Observation 0874f01e-ccac-42bf-8675-05666a292068 · outbound

This paper cites 8 Lectures on quantum groups and q-special functions.

The $q$-extension of iterated integrals and nested sums in quantum field theory 8 Lectures on quantum groups and q-special functions

Reference 23

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Observation d4170136-8b3f-4d90-a1dc-2c45bca70a07 · outbound

This paper cites Ismail and J.A.

The $q$-extension of iterated integrals and nested sums in quantum field theory Ismail and J.A

Reference 24

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Observation bfe37590-56a1-4bb5-8593-06df94b96429 · outbound

This paper cites Noumi and K.

The $q$-extension of iterated integrals and nested sums in quantum field theory Noumi and K

Reference 25

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Observation 83d14bab-03a6-429e-94bd-391f4a1fa09a · outbound

This paper cites Stokman,Multivariable big and littleq-Jacobi polynomials, SIAM J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Stokman,Multivariable big and littleq-Jacobi polynomials, SIAM J

Reference 26

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Observation c25da828-01bf-4be8-87ee-82ddcea3fe19 · outbound

This paper cites Sugitani,Harmonic analysis on quantum spheres associated with the representations ofU q(soN)and q-Jacobi polynomials, Compos.

The $q$-extension of iterated integrals and nested sums in quantum field theory Sugitani,Harmonic analysis on quantum spheres associated with the representations ofU q(soN)and q-Jacobi polynomials, Compos

Reference 27

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Observation 111342d8-f526-4083-9daf-91798af51d20 · outbound

This paper cites Matrix-Valued Little q-Jacobi Polynomials.

The $q$-extension of iterated integrals and nested sums in quantum field theory Matrix-Valued Little q-Jacobi Polynomials

Reference 28

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Observation 21696323-eff6-41e8-8d25-56b85d071477 · outbound

This paper cites Masuda, K.

The $q$-extension of iterated integrals and nested sums in quantum field theory Masuda, K

Reference 29

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source=pdf_text observed=2026-08-15T15:08:56.162617Z digest=sha256:0441490c743321e66f2ce6c0df3c7cd20d6435f9f5f978c8256d50ab79d07324

Observation 6391a9c2-4250-4460-8191-bef071679984 · outbound

This paper cites Koelink.The addition formula for continuousq-Legendre polynomials and associated spherical elements on theSU(2)quantum group related to Askey–Wilson polynomials, SIAM J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink.The addition formula for continuousq-Legendre polynomials and associated spherical elements on theSU(2)quantum group related to Askey–Wilson polynomials, SIAM J

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Observation 92c38497-0f9f-4f69-b0cd-d3288c64135a · outbound

This paper cites Koelink,Addition formula for bigq-Legendre polynomials from the quantumSU(2)group, Can.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink,Addition formula for bigq-Legendre polynomials from the quantumSU(2)group, Can

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Observation eae0da54-9e5c-4ffa-998c-7dd3ff0c40e0 · outbound

This paper cites Koelink.The addition formula for littleq-Legendre polynomials and theSU(2)quantum group, SIAM J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink.The addition formula for littleq-Legendre polynomials and theSU(2)quantum group, SIAM J

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Observation 7c163f4b-7078-4032-a304-0e84b41c8463 · outbound

This paper cites van Assche and T.H.

The $q$-extension of iterated integrals and nested sums in quantum field theory van Assche and T.H

Reference 33

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Observation f1ae5a1f-0237-4f63-b380-c5b6b2b556be · outbound

This paper cites Noumi and K.

The $q$-extension of iterated integrals and nested sums in quantum field theory Noumi and K

Reference 34

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source=pdf_text observed=2026-08-15T15:08:56.180769Z digest=sha256:b490a78ca95bac517f58f2aae2dfd70f2e69e334e246a5dafef79e4c27d6848d

Observation b5068815-6d32-4593-a39a-a32fbc606ef6 · outbound

This paper cites Rahman and A.

The $q$-extension of iterated integrals and nested sums in quantum field theory Rahman and A

Reference 35

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Observation 3e3b84a6-161a-4624-82ef-c4356a4d036f · outbound

This paper cites Koelink,Identities forq-ultraspherical polynomials and Jacobi functions, Proc.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink,Identities forq-ultraspherical polynomials and Jacobi functions, Proc

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Observation 226c8272-1eb8-41e9-a703-843177312ebb · outbound

This paper cites q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations.

The $q$-extension of iterated integrals and nested sums in quantum field theory q-Laguerre polynomials and big q-Bessel functions and their orthogonality relations

Reference 37

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Observation c42a8f4e-314e-404a-aac7-fb72fae489e1 · outbound

This paper cites Okounkov's BC-type interpolation Macdonald polynomials and their q=1 limit.

The $q$-extension of iterated integrals and nested sums in quantum field theory Okounkov's BC-type interpolation Macdonald polynomials and their q=1 limit

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Observation 6fae0991-015b-495b-88e2-49bff7a2f22e · outbound

This paper cites Berg and M.E.H.

The $q$-extension of iterated integrals and nested sums in quantum field theory Berg and M.E.H

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source=pdf_text observed=2026-08-15T15:08:56.200024Z digest=sha256:b71a30810c554a50b7d9bd04fc23a4b5b89f11c0b5d5d6215bf988ca21909415

Observation a829e6eb-3c98-42f8-837f-fdd552dd5471 · outbound

This paper cites Bressoud,A simple proof of Mehler’s formula forq-Hermite polynomials, Indiana Univ.

The $q$-extension of iterated integrals and nested sums in quantum field theory Bressoud,A simple proof of Mehler’s formula forq-Hermite polynomials, Indiana Univ

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source=pdf_text observed=2026-08-15T15:08:56.203571Z digest=sha256:2be38a698483a5686d7ba889ccb8a7fbced6ae03dfe073a8f7c9cc8ebc938ba9

Observation 2fcc6a4a-1145-4672-bb90-4cc17acc5607 · outbound

This paper cites Koelink and R.F.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink and R.F

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Observation 264488f1-cf80-49aa-a332-aba6ec318556 · outbound

This paper cites Koelink,Some basic Lommel polynomials, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink,Some basic Lommel polynomials, J

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source=pdf_text observed=2026-08-15T15:08:56.210914Z digest=sha256:38fee7180a4046ac59b1c4dc8c651727924d1eb0edb023e42327d5c9d30456c7

Observation f269f228-261e-46b0-a37d-a4f95029d55b · outbound

This paper cites Koelink,q-Krawtchouk polynomials as spherical functions on the Hecke algebra of type B, Report 96-07, Univ.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink,q-Krawtchouk polynomials as spherical functions on the Hecke algebra of type B, Report 96-07, Univ

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source=pdf_text observed=2026-08-15T15:08:56.214779Z digest=sha256:2f788b10752620bfaa8989c0dfbfe0eb691bb7d21bba41995f4d6573d60c7f9e

Observation 7ce6579e-684c-49ea-bff0-50e4764fbfe1 · outbound

This paper cites Groza and I.I.

The $q$-extension of iterated integrals and nested sums in quantum field theory Groza and I.I

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source=pdf_text observed=2026-08-15T15:08:56.218768Z digest=sha256:c1463c038e0921d164d6c7b8945fa4f4bb0ad7db750b7c1b786970ecd7db001a

Observation df68dea4-bea2-4261-bb2e-850f7855d8e2 · outbound

This paper cites Bergeron, E.

The $q$-extension of iterated integrals and nested sums in quantum field theory Bergeron, E

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source=pdf_text observed=2026-08-15T15:08:56.222246Z digest=sha256:f9e9d6aad9527cef2908caa4687ef67e2caadd6f50928d8b55426c2e20f02b8e

Observation 10ccf7fd-ab38-4ecc-8c32-d71d546b82bd · outbound

This paper cites On Chebyshev polynomials and torus knots.

The $q$-extension of iterated integrals and nested sums in quantum field theory On Chebyshev polynomials and torus knots

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source=pdf_text observed=2026-08-15T15:08:56.226637Z digest=sha256:fa509475cf2aeefac50fc1599f93b5f9e88023d6d812fc087a5c8ce990bfde05

Observation a0ded0fb-e6c3-4ca6-b4e9-95c0b59d4af1 · outbound

This paper cites Groenevelt and E.

The $q$-extension of iterated integrals and nested sums in quantum field theory Groenevelt and E

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source=pdf_text observed=2026-08-15T15:08:56.230522Z digest=sha256:d21aa9960ec1fed1ca815bdc4bb2909a4634eee6c65934a9cf9af0a29740568c

Observation 83e2b420-b2c5-4afc-b458-47c673760457 · outbound

This paper cites The combinatorics of q-Charlier polynomials.

The $q$-extension of iterated integrals and nested sums in quantum field theory The combinatorics of q-Charlier polynomials

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source=pdf_text observed=2026-08-15T15:08:56.234641Z digest=sha256:9a26a10e463f03b3004d6f34f06eac5ffe28accca9f88500dd389fcf85d47dd8

Observation 1ad05e39-7dc6-446d-a29e-7112fa355970 · outbound

This paper cites Nassrallah and M.

The $q$-extension of iterated integrals and nested sums in quantum field theory Nassrallah and M

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source=pdf_text observed=2026-08-15T15:08:56.238271Z digest=sha256:eb33216dc63e500058380a0f8d6adae7d94777b43c2ceffe4f4a3b15e257247d

Observation bebac8ae-fee0-4c69-acf2-c6c14144d6d0 · outbound

This paper cites Hikami,Representations of motifs: new aspect of the Rogers–Szeg ¨o polynomials, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Hikami,Representations of motifs: new aspect of the Rogers–Szeg ¨o polynomials, J

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source=pdf_text observed=2026-08-15T15:08:56.242135Z digest=sha256:c49d646606f6da7b880c58cd76f001123129d5813588786fdd1e4bdcd0b9f68e

Observation 2270d56e-070d-4430-a28a-a007b3a95edf · outbound

This paper cites Chen, H.L.

The $q$-extension of iterated integrals and nested sums in quantum field theory Chen, H.L

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source=pdf_text observed=2026-08-15T15:08:56.245669Z digest=sha256:0b61c45d9fe90c9ba423584981d7db713024dbbe6d5546d1fb5bcee5501f3d54

Observation 5987027e-9026-4d52-9981-6e0c4ed77ee7 · outbound

This paper cites Szeg ¨o,Ein Beitrag zur Theorie der Thetafunktionen, Sitzungsber.

The $q$-extension of iterated integrals and nested sums in quantum field theory Szeg ¨o,Ein Beitrag zur Theorie der Thetafunktionen, Sitzungsber

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source=pdf_text observed=2026-08-15T15:08:56.250136Z digest=sha256:f50e998ec6c58411ad4b0f8ffe2039a9784e233de86f5abcf6fdb42b4420adbe

Observation f741796b-5de5-4674-84b4-e638894dee0d · outbound

This paper cites Warnaar,Rogers–Szeg ¨o polynomials and Hall–Littlewood symmetric functions, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Warnaar,Rogers–Szeg ¨o polynomials and Hall–Littlewood symmetric functions, J

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source=pdf_text observed=2026-08-15T15:08:56.253904Z digest=sha256:657b0ecb976dc528019648fc17ec8e1979f66638598826ad8c7a46c29c0aa9f2

Observation 0f079283-76ef-4afa-ac45-0c3baa44aa6b · outbound

This paper cites Karabulut,Distributed Gaussian polynomials asq-oscillator eigenfunctions, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Karabulut,Distributed Gaussian polynomials asq-oscillator eigenfunctions, J

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source=pdf_text observed=2026-08-15T15:08:56.257373Z digest=sha256:9887df9109e14541eeec8cf8f3a25bc72318c9339c1af64dfd749c87eb50714d

Observation 52fd4e1f-43dc-4a3f-ab34-d28c31518ac5 · outbound

This paper cites Vinroot,An Enumeration of Flags in Finite Vector Spaces, Electron.

The $q$-extension of iterated integrals and nested sums in quantum field theory Vinroot,An Enumeration of Flags in Finite Vector Spaces, Electron

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Observation fd05d856-d674-43b3-af17-e00acb7a4a96 · outbound

This paper cites Floris,Addition formula forq-disk polynomials, Compos.

The $q$-extension of iterated integrals and nested sums in quantum field theory Floris,Addition formula forq-disk polynomials, Compos

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Observation 5274cd9b-2c34-4d9c-a09e-de421edca955 · outbound

This paper cites Floris and H.

The $q$-extension of iterated integrals and nested sums in quantum field theory Floris and H

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source=pdf_text observed=2026-08-15T15:08:56.268431Z digest=sha256:7bcddedcb737b14c50a33f0e049d50d23136994de6ecbd499c16c438d8d1cbb1

Observation 361fc9b7-1945-4752-b44e-55b8c6955a1f · outbound

This paper cites Hikami,Representation of the Yangian invariant motif and the Macdonald polynomial, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Hikami,Representation of the Yangian invariant motif and the Macdonald polynomial, J

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source=pdf_text observed=2026-08-15T15:08:56.272162Z digest=sha256:cd04aa458e498fd537d2cdc3d48776bef051a211b169c95aa5f902b0fc2a9226

Observation 955dbcec-4847-4aa4-b1c6-c9e1fb97a68c · outbound

This paper cites Morse,Bivariate Knop–Sahi and Macdonald polynomials related toq-ultraspherical functions, Discrete Math.217(2000) 293–299.

The $q$-extension of iterated integrals and nested sums in quantum field theory Morse,Bivariate Knop–Sahi and Macdonald polynomials related toq-ultraspherical functions, Discrete Math.217(2000) 293–299

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source=pdf_text observed=2026-08-15T15:08:56.275970Z digest=sha256:a11f03f0a9c8ab08162fb648aff092bd05ba94d5e436170ab52bd88d1ddea241

Observation 012c7bf8-7ed8-4c2d-a135-366901cc04c4 · outbound

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The $q$-extension of iterated integrals and nested sums in quantum field theory Okounkov,(Shifted) Macdonald polynomials:q-integral representation and combinatorial formula, Com- pos

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source=pdf_text observed=2026-08-15T15:08:56.279391Z digest=sha256:fe90864d8b35e80d439bbe8e6c195ab117afe35fcbeb8755565a4ed94f2ea2f2

Observation eb571509-5281-4cbf-b1db-aa266ba369a7 · outbound

This paper cites Jackson,I.-On generalized functions of Legendre and Bessel, Trans.

The $q$-extension of iterated integrals and nested sums in quantum field theory Jackson,I.-On generalized functions of Legendre and Bessel, Trans

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source=pdf_text observed=2026-08-15T15:08:56.283604Z digest=sha256:ea05c42ab94870c5a5fe0125ae95c1bb70fa21b18354a9f298b35e4f94c50f57

Observation 1c031c05-df1c-488c-8088-5d4f62e4b14c · outbound

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The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink,The quantum group of plane motions and the Hahn–Extonq-Bessel function, Duke Math

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source=pdf_text observed=2026-08-15T15:08:56.286904Z digest=sha256:e33c54d14c2458e3b012abcb55d0409db86c6896e6bb5e66b0734f55e9766628

Observation 72d987b9-3222-46ff-9a1c-b941446fce71 · outbound

This paper cites Vaksman and L.I.

The $q$-extension of iterated integrals and nested sums in quantum field theory Vaksman and L.I

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Observation 9a00db2c-2cf3-4ba4-89b1-9321dbaa9a4f · outbound

This paper cites Koelink and R.F.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink and R.F

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source=pdf_text observed=2026-08-15T15:08:56.293555Z digest=sha256:e6eea6536eb79c1790fd305dc81e02bd7e8085530cb5952f1bc0ae5f036b9e0b

Observation 5a396e60-946c-4876-9e7d-6d02b8701844 · outbound

This paper cites Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton q-Bessel function.

The $q$-extension of iterated integrals and nested sums in quantum field theory Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton q-Bessel function

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Observation 9c110fd6-908f-43d9-9dd1-bfcbe8b8e4bf · outbound

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The $q$-extension of iterated integrals and nested sums in quantum field theory Koelink,Hansen–Lommel Orthogonality Relations for Jackson’sq-Bessel Functions, J

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Observation bfdde36a-25eb-41cb-ae43-0fc6c93a483a · outbound

This paper cites Koornwinder and R.F.

The $q$-extension of iterated integrals and nested sums in quantum field theory Koornwinder and R.F

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source=pdf_text observed=2026-08-15T15:08:56.304301Z digest=sha256:1138cfede0b3feda502f55c53a96a43a2748c46cae388096023842611a519132

Observation 1615e252-1699-4652-8da6-055bb8b6350e · outbound

This paper cites De Commer and E.

The $q$-extension of iterated integrals and nested sums in quantum field theory De Commer and E

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source=pdf_text observed=2026-08-15T15:08:56.307732Z digest=sha256:f472aee6840ce585d927729a9e0c909b2ad7b48086b9835f462812f024380cfe

Observation ee044474-a733-46a0-b404-ab6b006dcfd0 · outbound

This paper cites Asymptotics of generalized Galois numbers via affine Kac-Moody algebras.

The $q$-extension of iterated integrals and nested sums in quantum field theory Asymptotics of generalized Galois numbers via affine Kac-Moody algebras

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source=pdf_text observed=2026-08-15T15:08:56.311335Z digest=sha256:8024b4710891d0c5260258d81cecb7fe8179a34bad6d7da82cc72cd6b12508e1

Observation 830fbba6-9c78-4930-ab82-59c7f5fd21ce · outbound

This paper cites Askey and J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Askey and J

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source=pdf_text observed=2026-08-15T15:08:56.315436Z digest=sha256:6339e24549d6f59a30c47ca3a3d1379c215bb5c117a7abf1d8db9c45a903e171

Observation b5bca66b-c1e0-4254-8631-92f1e49ff50a · outbound

This paper cites Opdam,Harmonic analysis for certain representations of graded Hecke algebras, Acta Math.175 (1995) 75–121.

The $q$-extension of iterated integrals and nested sums in quantum field theory Opdam,Harmonic analysis for certain representations of graded Hecke algebras, Acta Math.175 (1995) 75–121

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Observation 0a39c360-a1f6-4b5d-904c-f25b65a6adda · outbound

This paper cites Schwenk and J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Schwenk and J

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source=pdf_text observed=2026-08-15T15:08:56.322141Z digest=sha256:c8c7794823343c593b6d826c20f9e9091148a2acb70a1f11f9f4d6e93faa56ee

Observation 82676fa0-59d3-43dc-aa13-5a552c1f13ea · outbound

This paper cites Wess,q-deformed Heisenberg algebra, PoS (Corfu98) 015.

The $q$-extension of iterated integrals and nested sums in quantum field theory Wess,q-deformed Heisenberg algebra, PoS (Corfu98) 015

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Observation e8ecf381-e99d-44af-85b7-58133f4e4364 · outbound

This paper cites Micu,Aq-deformed Schr ¨odinger equation, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Micu,Aq-deformed Schr ¨odinger equation, J

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source=pdf_text observed=2026-08-15T15:08:56.328899Z digest=sha256:fe2a446aa00ffaf2d9fa5f4b249313a499685580d9f1845214875dd17c618325

Observation b5ea0eca-7e8c-43e1-9971-42ea2302bcf0 · outbound

This paper cites q-Deformed Conformal Quantum Mechanics.

The $q$-extension of iterated integrals and nested sums in quantum field theory q-Deformed Conformal Quantum Mechanics

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source=pdf_text observed=2026-08-15T15:08:56.332376Z digest=sha256:32d4151937ea8eed9f1cc098f5ca81aa9d4fa64fc8354b873a94f2b8c4a6171a

Observation b2b3c0ad-0460-4bbc-94ad-bfd1a3c99c1a · outbound

This paper cites Jarvis and T.H.

The $q$-extension of iterated integrals and nested sums in quantum field theory Jarvis and T.H

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Observation e3e2318c-7f30-4f08-88b0-8b5eb4cae001 · outbound

This paper cites Biedenharn,The quantum groupSU q(2)and a q-analogue of the boson operators, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Biedenharn,The quantum groupSU q(2)and a q-analogue of the boson operators, J

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source=pdf_text observed=2026-08-15T15:08:56.339963Z digest=sha256:1c21ae63203b0dc38f116ddb20d8559f9bfecbe6df420089dde489e7e943bf74

Observation 7b541802-73a6-41c4-a652-724327ad75de · outbound

This paper cites Macfarlane,OnqAnalogs of the Quantum Harmonic Oscillator and the Quantum GroupSU(2) q, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Macfarlane,OnqAnalogs of the Quantum Harmonic Oscillator and the Quantum GroupSU(2) q, J

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source=pdf_text observed=2026-08-15T15:08:56.343878Z digest=sha256:28e21cd2096f08da2f4adc319e4c2ad4928f8907f04ebb90b43ff45b18b59578

Observation 43c19704-cd4e-4881-8c23-7d0112d574fb · outbound

This paper cites Arik and D.D.

The $q$-extension of iterated integrals and nested sums in quantum field theory Arik and D.D

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source=pdf_text observed=2026-08-15T15:08:56.347431Z digest=sha256:727510f64cf884372c4a7411550073a97d2e971fa49c0fc90f8ed4473d935cf3

Observation 754b1f24-317a-4430-9093-40bfe51e4927 · outbound

This paper cites Jimbo,Aq-difference analogue ofU(g)and the Yang-Baxter equation, Lett.

The $q$-extension of iterated integrals and nested sums in quantum field theory Jimbo,Aq-difference analogue ofU(g)and the Yang-Baxter equation, Lett

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source=pdf_text observed=2026-08-15T15:08:56.351124Z digest=sha256:06b207579aa69ff40dcfe3cbd424636924c0eccd0a6d7386a368adb855590fd9

Observation 8e0261b8-ad6a-477f-b01f-b5c35e6cc066 · outbound

This paper cites Drinfeld,Hopf algebras and the quantum Yang-Baxter equation, Dokl.

The $q$-extension of iterated integrals and nested sums in quantum field theory Drinfeld,Hopf algebras and the quantum Yang-Baxter equation, Dokl

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source=pdf_text observed=2026-08-15T15:08:56.354309Z digest=sha256:ee6e894d8ea3c8718c29110ffe32887b8a337ce2adafa76276c30bc9474457b5

Observation 99f879fc-3ffb-4fbf-9150-2f34f5fca023 · outbound

This paper cites Faddeev, N.Y.

The $q$-extension of iterated integrals and nested sums in quantum field theory Faddeev, N.Y

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source=pdf_text observed=2026-08-15T15:08:56.357676Z digest=sha256:a24d0a02a863d2a50722b0f12601f17d7c0d9e006c7a2fccf0f4af74837645fd

Observation 798dac86-63fc-426a-ad04-62213e3119b7 · outbound

This paper cites Hayashi,Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras, Commun.

The $q$-extension of iterated integrals and nested sums in quantum field theory Hayashi,Q-analogues of Clifford and Weyl algebras-spinor and oscillator representations of quantum enveloping algebras, Commun

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source=pdf_text observed=2026-08-15T15:08:56.361077Z digest=sha256:142c106e652aa8712fe965b93adda5aa71395e4793719e64587fcb5be1b47270

Observation f6b40bb6-55db-437e-9990-ba535d5f2d8e · outbound

This paper cites Aizawa,qto or fromq −1 invariance ofq-oscillators and new realizations of quantum algebras, J.

The $q$-extension of iterated integrals and nested sums in quantum field theory Aizawa,qto or fromq −1 invariance ofq-oscillators and new realizations of quantum algebras, J

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source=pdf_text observed=2026-08-15T15:08:56.365387Z digest=sha256:f5d40408c8d1e9c9e035cb5b78e66aff963100a12a9ea29cecf24f98e25583a2

Observation 160b5c93-67a0-404d-a8a6-141077c04f21 · outbound

This paper cites Chakrabarty and R.

The $q$-extension of iterated integrals and nested sums in quantum field theory Chakrabarty and R

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source=pdf_text observed=2026-08-15T15:08:56.368932Z digest=sha256:15b9f1e3ff63f03efe84d6fe4b4094e1815c260ad3260cc5b43040487fea1d45

Observation 5e4a2fc2-0474-43fa-adc2-d2422fb7fdec · outbound

This paper cites an unresolved cited work.

The $q$-extension of iterated integrals and nested sums in quantum field theory Unresolved cited work

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source=pdf_text observed=2026-08-15T15:08:56.372131Z digest=sha256:79735516e5ff1fea751567a4142e49cad1e7faace7383bce5f7f13f5466af7a4

Observation 133d4fbd-df00-4c0f-846c-945608788e66 · outbound

This paper cites Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels.

The $q$-extension of iterated integrals and nested sums in quantum field theory Deformed Oscillators with Two Double (Pairwise) Degeneracies of Energy Levels

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source=pdf_text observed=2026-08-15T15:08:56.375433Z digest=sha256:894f30ce1636f50894a2156ea36e72e849226f247ca913bf004dca18013fc897

Observation f71164e5-a3cd-49f0-8472-fbbcbe236018 · outbound

This paper cites Occurrence of pairwise energy level degeneracies in q,p-oscillator model.

The $q$-extension of iterated integrals and nested sums in quantum field theory Occurrence of pairwise energy level degeneracies in q,p-oscillator model

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source=pdf_text observed=2026-08-15T15:08:56.378902Z digest=sha256:6c71428eee8f8465ced88544f78fa9a153f7421aa43b0616676d8a3ec67a1549

Observation 7d29e41d-e0b5-4571-a1c6-349c5e5b4579 · outbound

This paper cites Chaturvedi, V.

The $q$-extension of iterated integrals and nested sums in quantum field theory Chaturvedi, V

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source=pdf_text observed=2026-08-15T15:08:56.382685Z digest=sha256:df252af0fc8352949dda36ba27a258f42aa390ba1aebc4ca131696434059307e

Observation c9625ac8-1adc-41f9-9a82-db0539915565 · outbound

This paper cites Odaka, T.

The $q$-extension of iterated integrals and nested sums in quantum field theory Odaka, T

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source=pdf_text observed=2026-08-15T15:08:56.385735Z digest=sha256:444f7073a004b5e21c26d242874ba4e50dc99b28b50adab0c1f4e5ab77945d2a

Observation d6dd9276-4cfa-4cf8-86db-ef62f4cfd1e7 · outbound

This paper cites Plethora of q-oscillators possessing pairwise energy level degeneracy.

The $q$-extension of iterated integrals and nested sums in quantum field theory Plethora of q-oscillators possessing pairwise energy level degeneracy

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verified exact
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source=pdf_text observed=2026-08-15T15:08:56.389485Z digest=sha256:5be2cb74d9e8909e312731c542034388b0ef2c74a6d5c9abbb3ea3b6fdb19f46

Observation d01b66b8-4517-4a98-a44d-0a7236b88f4e · outbound

This paper cites A q-Oscillator with 'Accidental' Degeneracy of Energy Levels.

The $q$-extension of iterated integrals and nested sums in quantum field theory A q-Oscillator with 'Accidental' Degeneracy of Energy Levels

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source=pdf_text observed=2026-08-15T15:08:56.393266Z digest=sha256:03724d94232e6ae0d3b79e7f66fd7645429ae517de51bd4a7192b1bbe1642efd

Observation 685473d7-844c-4d96-995d-a9f23bda8b75 · outbound

This paper cites Quasi-Fibonacci oscillators.

The $q$-extension of iterated integrals and nested sums in quantum field theory Quasi-Fibonacci oscillators

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source=pdf_text observed=2026-08-15T15:08:56.397293Z digest=sha256:cf5be19d072f49239775142d0b48e1e58f9f1bdcceb0764db602d51ea59bef57

Observation 8b5b9498-71a8-46b8-99fd-7a4debec7045 · outbound

This paper cites Chung, K.S.

The $q$-extension of iterated integrals and nested sums in quantum field theory Chung, K.S

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source=pdf_text observed=2026-08-15T15:08:56.401453Z digest=sha256:8707e420ecbaf08e8b53a6c7f751c02e6ff5d137b1497d8b36c18ef558408b1c

Observation 7710311e-4928-4586-8925-2d68d6f87ebb · outbound

This paper cites Some Remarks on the Representation of the Generalized Deformed Oscillator Algebra.

The $q$-extension of iterated integrals and nested sums in quantum field theory Some Remarks on the Representation of the Generalized Deformed Oscillator Algebra

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source=pdf_text observed=2026-08-15T15:08:56.405057Z digest=sha256:9cdb1c208ea61d7cd47e249d927f84c096bf116d1d6eb493121d2c4d6f3a87b0

Observation d2105908-f2f8-42ca-9cba-a3b75326a4ca · outbound

This paper cites Burban,On(p,q;α,β,l)-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra, Phys.

The $q$-extension of iterated integrals and nested sums in quantum field theory Burban,On(p,q;α,β,l)-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra, Phys

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source=pdf_text observed=2026-08-15T15:08:56.408857Z digest=sha256:71e154a061c6fb47a09cb72e7d9932b32b83b2f2dc87fb4504479d019f4db606

Observation 48a4b3c0-a8aa-4650-becb-a71a073ea73e · outbound

This paper cites Symmetric Tamm-Dancoff q-oscillator: representation, quasi-Fibonacci nature, accidental degeneracy and coherent states.

The $q$-extension of iterated integrals and nested sums in quantum field theory Symmetric Tamm-Dancoff q-oscillator: representation, quasi-Fibonacci nature, accidental degeneracy and coherent states

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source=pdf_text observed=2026-08-15T15:08:56.412808Z digest=sha256:910c83cf08bddcc6753b9857ea5c65ab4ab0db379e28d858e5157c0107d1f3da

Observation d4d28756-5324-4d47-ba74-c54065c101d2 · outbound

This paper cites Polynomially deformed oscillators as k-bonacci oscillators.

The $q$-extension of iterated integrals and nested sums in quantum field theory Polynomially deformed oscillators as k-bonacci oscillators

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source=pdf_text observed=2026-08-15T15:08:56.416479Z digest=sha256:6459b141e031865f683034689bb75eb7e545e0c880eee12cc2471423321826fa

Observation 95c8cc29-c13b-4ace-b7a7-e5e3916754cf · outbound

This paper cites Three-parameter (two-sided) deformation of Heisenberg algebra.

The $q$-extension of iterated integrals and nested sums in quantum field theory Three-parameter (two-sided) deformation of Heisenberg algebra

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source=pdf_text observed=2026-08-15T15:08:56.420058Z digest=sha256:a67beff6f96d1d43f3cd993146045e848f2b3905b741540d4de139bd8f840a27

Observation 4b737f5c-1cd5-4292-b687-3df54f9d092b · outbound

This paper cites New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra.

The $q$-extension of iterated integrals and nested sums in quantum field theory New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra

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source=pdf_text observed=2026-08-15T15:08:56.424062Z digest=sha256:08f9ae9835f87420a24c5aafcdfe3f2b12248a0f36f3561e8cad5593025814f7

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