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Paper Citation Record · LEDGER

The rank two Jacobi algebra

As of 19 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 2 inbound Pith citation observations for arXiv:2507.07766.

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measured 51 of 51 reference resolution

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measured 53 of 53 standing notices

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Source: pith, observed 2026-08-15T16:16:58.060516Z

Reference resolution

51 of 51 outbound references displayed

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Outbound references

Observation c8c8676f-1333-43f6-ab4a-8bcd89699d4e · outbound

This paper cites Hypergeometric orthogonal polynomials.

The rank two Jacobi algebra Hypergeometric orthogonal polynomials

Reference 1

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Observation fece5a6d-7aab-4461-8029-88ee2af0308e · outbound

This paper cites Tridiagonalization of the hypergeometric operator and the Racah–Wilson algebra.

The rank two Jacobi algebra Tridiagonalization of the hypergeometric operator and the Racah–Wilson algebra

Reference 2

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Observation 3779b9ae-6067-400b-baec-c933a0377953 · outbound

This paper cites Nature of the symmetry group of the 6 j-symbol.

The rank two Jacobi algebra Nature of the symmetry group of the 6 j-symbol

Reference 3

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Observation 6fbf7624-7028-443e-8bfb-95416db23907 · outbound

This paper cites Superintegrability in two dimensions and the Racah–Wilson algebra.

The rank two Jacobi algebra Superintegrability in two dimensions and the Racah–Wilson algebra

Reference 4

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source=pdf_text observed=2026-08-06T18:38:06.642521Z digest=sha256:9869538d74364298ebb4a5e50241f38431e3354c3eb90b5731b88a6957257a64

Observation 09b7b4a8-1445-4766-a36c-0412fccd1920 · outbound

This paper cites The Racah algebra and superintegrable models.

The rank two Jacobi algebra The Racah algebra and superintegrable models

Reference 5

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source=pdf_text observed=2026-08-06T18:38:06.650254Z digest=sha256:d33af87be6d40073fb72c040a74f1e0549c925fd7e0ba7cf6f1abdbdf9d51e91

Observation 498690d2-134e-49da-9937-d949b154e95a · outbound

This paper cites Hidden symmetry.

The rank two Jacobi algebra Hidden symmetry

Reference 6

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source=pdf_text observed=2026-08-06T18:38:06.655705Z digest=sha256:f8b8f7112cb0a7a29785577bf808542b825cae0e0365c756eba4dd20286c8c41

Observation d392eddc-30b6-42d5-8c6b-62edfb4fd828 · outbound

This paper cites Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2).

The rank two Jacobi algebra Hidden Symmetry of the Racah and Clebsch-Gordan Problems for the Quantum Algebra sl_q(2)

Reference 7

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Observation 9e89870b-77e5-4e9c-8374-8f8dc51e7b1b · outbound

This paper cites The Askey–Wilson algebra and its avatars.Journal of Physics A: Mathematical and Theoretical, 54(6):063001, 2021.

The rank two Jacobi algebra The Askey–Wilson algebra and its avatars.Journal of Physics A: Mathematical and Theoretical, 54(6):063001, 2021

Reference 8

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Observation 62073f90-bc64-40a3-8a81-32a44bf74654 · outbound

This paper cites Mutual integrability, quadratic algebras, and dynamical symmetry.

The rank two Jacobi algebra Mutual integrability, quadratic algebras, and dynamical symmetry

Reference 9

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Observation 942cf7a4-f20e-48e0-9d89-ef697f924cee · outbound

This paper cites Jacobi algebra and potentials generated by it.

The rank two Jacobi algebra Jacobi algebra and potentials generated by it

Reference 10

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Observation 71c1d995-02d7-47cd-86b4-164e9b3407f1 · outbound

This paper cites A higher rank Racah algebra and the Zn 2 Laplace–Dunkl operator.

The rank two Jacobi algebra A higher rank Racah algebra and the Zn 2 Laplace–Dunkl operator

Reference 11

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Observation aac37f95-727f-4d41-9a0d-91a476b2a3ce · outbound

This paper cites Racah algebras, the centralizer Zn(sl2) and its Hilbert-Poincar´ e series.Annales Henri Poincar´ e, 23:2657–2682, 2022.

The rank two Jacobi algebra Racah algebras, the centralizer Zn(sl2) and its Hilbert-Poincar´ e series.Annales Henri Poincar´ e, 23:2657–2682, 2022

Reference 12

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Observation 8cc9ca1b-b2e0-4d69-83c2-ae481b647180 · outbound

This paper cites Some multivariable orthogonal polynomials of the Askey tableau-discrete families.

The rank two Jacobi algebra Some multivariable orthogonal polynomials of the Askey tableau-discrete families

Reference 13

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Observation 4febdd1a-12cc-4f12-bbfe-a1b1e9f271ac · outbound

This paper cites Two-variable Wilson polynomials and the generic superin- tegrable system on the 3-sphere.

The rank two Jacobi algebra Two-variable Wilson polynomials and the generic superin- tegrable system on the 3-sphere

Reference 14

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Observation 8e853747-8de0-4319-a1ad-b09996fa5243 · outbound

This paper cites Representations of the rank two Racah algebra and orthogonal multivariate polynomials.

The rank two Jacobi algebra Representations of the rank two Racah algebra and orthogonal multivariate polynomials

Reference 15

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Observation dbc1dadf-08d1-498a-a652-4d3e262c30fa · outbound

This paper cites The Racah algebra of rank 2: Properties, symmetries and representation.

The rank two Jacobi algebra The Racah algebra of rank 2: Properties, symmetries and representation

Reference 16

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Observation d5d76e28-dd75-4a0c-ab50-3db41de55b12 · outbound

This paper cites Two-variable analogues of the classical orthogonal polynomials.

The rank two Jacobi algebra Two-variable analogues of the classical orthogonal polynomials

Reference 17

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Observation d8ffc3b4-3e9e-4b19-a52d-bd5005c834b7 · outbound

This paper cites Sur une famille de polynˆ omes ` a deux variables orthogonaux dans un triangle.Comptes rendus hebdomadaires des s´ eances de l’Acad´ emie des sciences, 245(26):2459–2461, 1957.

The rank two Jacobi algebra Sur une famille de polynˆ omes ` a deux variables orthogonaux dans un triangle.Comptes rendus hebdomadaires des s´ eances de l’Acad´ emie des sciences, 245(26):2459–2461, 1957

Reference 18

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Observation 92775579-0693-445f-8e3d-793f650761ef · outbound

This paper cites Orthogonal polynomials of several variables.

The rank two Jacobi algebra Orthogonal polynomials of several variables

Reference 19

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Observation e8feb124-a638-437d-a950-f55e08875194 · outbound

This paper cites Spectral/hp element methods for computational fluid dynamics.

The rank two Jacobi algebra Spectral/hp element methods for computational fluid dynamics

Reference 20

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Observation 03577008-e81a-4cd1-a60a-f4c7f3fa8dec · outbound

This paper cites Orthogonal polynomials in two variables.

The rank two Jacobi algebra Orthogonal polynomials in two variables

Reference 21

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Observation 292be584-6d66-4209-ba96-c8b1cb08d00d · outbound

This paper cites On some two-dimensional analogues of classical orthogonal polynomials.

The rank two Jacobi algebra On some two-dimensional analogues of classical orthogonal polynomials

Reference 22

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Observation 545a07c1-7a39-40aa-a59f-de64ab5b03ac · outbound

This paper cites Two-Dimensional Krall–Sheffer Polynomials and Quantum Systems on Spaces with Constant Curvature.

The rank two Jacobi algebra Two-Dimensional Krall–Sheffer Polynomials and Quantum Systems on Spaces with Constant Curvature

Reference 23

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Observation e7ca1443-9616-4f1d-a141-e87314698088 · outbound

This paper cites Recent trends on two variable orthogonal polynomials.

The rank two Jacobi algebra Recent trends on two variable orthogonal polynomials

Reference 24

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Observation f30150b4-f44e-414a-b05b-de5d33564d8a · outbound

This paper cites Bispectrality of multivariable Racah–Wilson polynomials.

The rank two Jacobi algebra Bispectrality of multivariable Racah–Wilson polynomials

Reference 25

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source=pdf_text observed=2026-08-06T18:38:06.767755Z digest=sha256:2bb72f9059fe3208fbf9d331787675f3670fbc0fefd18c8b83b826df3c5d32c9

Observation 2a24cd29-77e2-4db5-86b3-2d0bea40c616 · outbound

This paper cites Orthogonal polynomials in two variables of q-Hahn and q-Jacobi type.

The rank two Jacobi algebra Orthogonal polynomials in two variables of q-Hahn and q-Jacobi type

Reference 26

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Observation 252ae6d0-fe32-4407-8021-2ff80179002f · outbound

This paper cites Two-variable orthogonal polynomials of big q-Jacobi type.Journal of computational and applied mathematics , 233(6):1554–1561, 2010.

The rank two Jacobi algebra Two-variable orthogonal polynomials of big q-Jacobi type.Journal of computational and applied mathematics , 233(6):1554–1561, 2010

Reference 27

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Observation 98e5975f-ad33-480b-a5f1-da919c799142 · outbound

This paper cites Structure relations for the bivariate big q-Jacobi polynomials.

The rank two Jacobi algebra Structure relations for the bivariate big q-Jacobi polynomials

Reference 28

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Observation 730808b2-b1dc-41d8-8f3b-37a7e66e4933 · outbound

This paper cites Two-variable −1 Jacobi polynomials.

The rank two Jacobi algebra Two-variable −1 Jacobi polynomials

Reference 29

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Observation bb9833c5-1af1-4191-9859-cb357dd8960a · outbound

This paper cites A limit q = −1 for the big q-Jacobi polynomials.

The rank two Jacobi algebra A limit q = −1 for the big q-Jacobi polynomials

Reference 30

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Observation e56ed97e-45ce-409b-96c6-5b5672a29c99 · outbound

This paper cites Symmetry algebra for the generic superintegrable system on the sphere.

The rank two Jacobi algebra Symmetry algebra for the generic superintegrable system on the sphere

Reference 31

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Observation 8edb31c3-2951-4c89-a367-77266a309701 · outbound

This paper cites Realisations of Racah algebras using Jacobi operators and convolution identities.

The rank two Jacobi algebra Realisations of Racah algebras using Jacobi operators and convolution identities

Reference 32

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source=pdf_text observed=2026-08-06T18:38:06.806531Z digest=sha256:b5814318b8d73c1f5be4e17908b18bc65cb1b186111f3ff6b5bf26f9b3cd2176

Observation 28fd5082-772a-4793-8a9e-58cec6200d4c · outbound

This paper cites Bargmann and Barut-Girardello models for the Racah algebra.

The rank two Jacobi algebra Bargmann and Barut-Girardello models for the Racah algebra

Reference 33

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source=pdf_text observed=2026-08-06T18:38:06.812633Z digest=sha256:402266b0bebbe3a93c45512619afdc8b8c66fbb05edbccdaf5c81f7bab76d5e7

Observation 5ad5eb59-8d70-48b3-9a07-24abae51bca5 · outbound

This paper cites Bispectrality of Multivariable Racah–Wilson Polynomials.

The rank two Jacobi algebra Bispectrality of Multivariable Racah–Wilson Polynomials

Reference 34

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source=pdf_text observed=2026-08-06T18:38:06.818326Z digest=sha256:dd5eabe55a9a2ae4078466c6b4f93926d4c78c1c519101d7861fb62fafa52a18

Observation cdd4bc24-d1ee-45a6-b89d-0b6f2fd201c1 · outbound

This paper cites Racah Polynomials and Recoupling Schemes of su(1, 1).

The rank two Jacobi algebra Racah Polynomials and Recoupling Schemes of su(1, 1)

Reference 35

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raw_fallback, observed 2026-08-06T18:38:07.312367Z

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source=pdf_text observed=2026-08-06T18:38:06.823257Z digest=sha256:e846e56df8ff18f8a96fb63537c1aef912c2db5e62207997c9ddfd021102f2b1

Observation db7269e2-ad43-4b65-a619-395535fdf23c · outbound

This paper cites The generalized Racah algebra as a commutant.

The rank two Jacobi algebra The generalized Racah algebra as a commutant

Reference 36

Resolution
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raw_fallback, observed 2026-08-06T18:38:07.292858Z

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source=pdf_text observed=2026-08-06T18:38:06.829131Z digest=sha256:db66ffb3b90ca4a82b3569ff2bca70aa7e2e975c3bb5b4a5c5aac4b9cbbda2df

Observation 4c70527f-740e-4893-bf7d-faf0453060b5 · outbound

This paper cites The Racah algebra: An overview and recent results.

The rank two Jacobi algebra The Racah algebra: An overview and recent results

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.274612Z

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source=pdf_text observed=2026-08-06T18:38:06.836602Z digest=sha256:f9af7e686c6e943bb0e96f9446c795eb039d0d64e9498eb16e608ecb993c93ba

Observation f8329fe0-0a7e-4b5d-85cc-f46991c8f8dc · outbound

This paper cites Embedding of the Racah Algebra R(n) and Superintegrability.

The rank two Jacobi algebra Embedding of the Racah Algebra R(n) and Superintegrability

Reference 38

Resolution
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raw_fallback, observed 2026-08-06T18:38:07.256697Z

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source=pdf_text observed=2026-08-06T18:38:06.841742Z digest=sha256:880b594a82ac9b8802d16a017e08550f3eeafb5191fe5c845f078dfbb4cbb7e7

Observation eb6caca7-ae15-4aa8-80c1-faae24b730fd · outbound

This paper cites Frappat, J Gaboriaud, E Ragoucy, L Vinet, and M Zaimi.

The rank two Jacobi algebra Frappat, J Gaboriaud, E Ragoucy, L Vinet, and M Zaimi

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.237107Z

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source=pdf_text observed=2026-08-06T18:38:06.846983Z digest=sha256:65115926b3718d91c43c9edd2df385b55ec6b8967abab072a0e1ebca59eab263

Observation 9f557f86-c52c-4211-ac98-c8a979cae55b · outbound

This paper cites The structure relation for Askey–Wilson polynomials.

The rank two Jacobi algebra The structure relation for Askey–Wilson polynomials

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.216751Z

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source=pdf_text observed=2026-08-06T18:38:06.860547Z digest=sha256:dfad373f0a631930e185f764ee3e551e47ada5e4d4655bc5b8bf74303015ffb3

Observation 79f6e146-b9c0-4b76-a85b-f42e8b882e07 · outbound

This paper cites Degenerate Sklyanin algebras, Askey– Wilson polynomials and Heun operators.

The rank two Jacobi algebra Degenerate Sklyanin algebras, Askey– Wilson polynomials and Heun operators

Reference 41

Resolution
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source=pdf_text observed=2026-08-06T18:38:06.866348Z digest=sha256:3ed2209c05f74cf3a375f2e08fd5843623040c21decc0384d158a95e91b8a2d9

Observation f5e3823d-1c5d-4a86-98d9-1e0698976770 · outbound

This paper cites Bivariate second-order linear partial differential equations and orthogonal polynomial solutions.

The rank two Jacobi algebra Bivariate second-order linear partial differential equations and orthogonal polynomial solutions

Reference 42

Resolution
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raw_fallback, observed 2026-08-06T18:38:07.173790Z

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source=pdf_text observed=2026-08-06T18:38:06.872078Z digest=sha256:fcde0f3311d824f8014f85c03d3dc08255f6eb30bff4514760ea2181432c4ee9

Observation af1a85c6-8410-4763-94a9-d6e919c46470 · outbound

This paper cites Weak classical orthogonal polynomials in two variables.

The rank two Jacobi algebra Weak classical orthogonal polynomials in two variables

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.155910Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.877308Z digest=sha256:4d41f30a9a2f8aea48f519ff3e5f29ab1471270af0eb43090ce8058c9cbec9e1

Observation f818f0be-86f9-432f-881c-ae803d9ea90d · outbound

This paper cites Tridiagonalization and the Heun equation.

The rank two Jacobi algebra Tridiagonalization and the Heun equation

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.137505Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.884048Z digest=sha256:ff45c0b78a59b074cc61cf0b1da8db95c2bb6b29ab902d7260cf7f3ea6028308

Observation 405a9933-6f7b-4f4d-bb2b-c2adf1f7e7b7 · outbound

This paper cites Dunkl shift operators and Bannai–Ito polynomials.

The rank two Jacobi algebra Dunkl shift operators and Bannai–Ito polynomials

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.119753Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.888814Z digest=sha256:6c745de7a22be442f3358c36f846a8d16fffba5277c17ab00e085f162ebb0e37

Observation 8dcfc61f-3b57-4e97-b734-6bafa8376556 · outbound

This paper cites A Laplace–Dunkl equation on S2 and the Bannai–Ito algebra.

The rank two Jacobi algebra A Laplace–Dunkl equation on S2 and the Bannai–Ito algebra

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.104255Z

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source=pdf_text observed=2026-08-06T18:38:06.893702Z digest=sha256:f985c68dfd49712a279c83d637d9264ba74a45b6a84cea1fd9a59eefd87b66b0

Observation 4b264330-680b-48dd-a326-8a520e6e0d1e · outbound

This paper cites The Bannai-Ito algebra and some applications.

The rank two Jacobi algebra The Bannai-Ito algebra and some applications

Reference 47

Resolution
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raw_fallback, observed 2026-08-06T18:38:07.081873Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.898258Z digest=sha256:5456105f12badda54044c8519f3da442a7f1664ddfe627fc454c7d108ad36d99

Observation 7231bfce-3c7e-48ae-a5af-914013ec53f6 · outbound

This paper cites FactorizedA2-Leonard pair.

The rank two Jacobi algebra FactorizedA2-Leonard pair

Reference 48

Resolution
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raw_fallback, observed 2026-08-06T18:38:07.062569Z

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source=pdf_text observed=2026-08-06T18:38:06.902727Z digest=sha256:3993fcf3f3b9ec21c42d7b29ccb9a124f8c4d258c1e1277c3a2090d3ce98294c

Observation b80ab54f-78de-4a26-9eed-fabd963d7c3c · outbound

This paper cites The Higgs and Hahn algebras from a Howe duality perspective.

The rank two Jacobi algebra The Higgs and Hahn algebras from a Howe duality perspective

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.040252Z

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source=pdf_text observed=2026-08-06T18:38:06.908652Z digest=sha256:b8a1fda14d92804581301c71da1ebe6ac20f46eb0b8248607913e84f617ab2d2

Observation f21ad3a9-9605-461a-8a02-f0cafad27963 · outbound

This paper cites Higher transcendental functions, volume II.Bateman Manuscript Project) Mc Graw-Hill Book Company , 410, 1953.

The rank two Jacobi algebra Higher transcendental functions, volume II.Bateman Manuscript Project) Mc Graw-Hill Book Company , 410, 1953

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:38:07.015377Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T18:38:06.914173Z digest=sha256:e3420540f9ee3e723b8bf536e41e43a547ec916e1b2d667411b38e7ad5bee214

Observation 6e8b4a1f-2e75-46df-8d1a-13ad120c4be6 · outbound

This paper cites An introduction to orthogonal polynomials.

The rank two Jacobi algebra An introduction to orthogonal polynomials

Reference 51

Resolution
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source=pdf_text observed=2026-08-06T18:38:06.918984Z digest=sha256:711f8f3c5f40e4fcdc755a612db1c5c039220b2258ddf3c7102a42b5f23e7a68

Pith citing papers

Observation b6873c19-526d-460d-9ab7-ef062d206a5f · inbound

Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way cites this paper.

Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way The rank two Jacobi algebra

Reference 19

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local_arxiv, observed 2026-08-15T16:16:58.066896Z

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source=pdf_text observed=2026-08-15T16:16:57.908043Z digest=sha256:2cb86359fee20a5934e8757144a0b52504eb6cba92de8a7e830a002850026500

Observation 5ed31f2f-ee56-4e95-9c6f-64bd32312afd · inbound

Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebra cites this paper.

Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebra The rank two Jacobi algebra

Reference 2

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no resolver link, observed 2026-08-03T08:41:37.924092Z

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source=pdf_text observed=2026-08-03T08:41:37.924092Z digest=sha256:083ea2151c58fe1c6fb2edc8e8c4caaf6ae6cfe958d02d7541340d14915dd922