Paper Citation Record · LEDGER

Eigenvalue equations for sieved polynomials or proving Askey right again

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2507.03862.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.03862 v1

Coverage vector

measured 28 of 28 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T20:09:34.614394Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

28 of 28 outbound references displayed

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External citation measurements

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Outbound references

Observation a86fd810-71b6-41da-8a2d-4a7d7cb2eac1 · outbound

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

Eigenvalue equations for sieved polynomials or proving Askey right again Dunkl shift operators and Bannai–Ito polynomials

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T20:09:34.520511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ee65c6a-b8e7-4b40-b89c-e68c444bf262 · outbound

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

Eigenvalue equations for sieved polynomials or proving Askey right again A limit q = −1 for the big q-jacobi polynomials

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.887560Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6c2a289a-db8a-4859-8f39-7af635139d98 · outbound

This paper cites Algebraic combinatorics, volume 5.

Eigenvalue equations for sieved polynomials or proving Askey right again Algebraic combinatorics, volume 5

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.878092Z

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Observation 74e96987-054d-4fad-9b79-067ac1fe32c8 · outbound

This paper cites Sieved ultraspherical polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again Sieved ultraspherical polynomials

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.870099Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b744b176-b0c5-4230-b0c6-6e76100d7dca · outbound

This paper cites On sieved orthogonal polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again On sieved orthogonal polynomials

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.861343Z

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Observation 7c012bc7-3cde-4787-b225-026ddb8a6bd5 · outbound

This paper cites On sieved orthogonal polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again On sieved orthogonal polynomials

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.851708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 29eb7372-b6f4-4a55-9fcb-b127b77459de · outbound

This paper cites On sieved orthogonal polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again On sieved orthogonal polynomials

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.843345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 273bd901-371b-41a3-bd88-7d448b673f32 · outbound

This paper cites The CMV bispectrality of the Jacobi polynomials on the unit circle.

Eigenvalue equations for sieved polynomials or proving Askey right again The CMV bispectrality of the Jacobi polynomials on the unit circle

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.834065Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 29dcca34-3fa6-4093-857e-2e19fe4cbcb2 · outbound

This paper cites Bispectrality of the sieved Jacobi polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again Bispectrality of the sieved Jacobi polynomials

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:09:34.653783Z

Source-reported events for the cited work

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Observation 15241e21-70bd-463a-8d6c-00501aac6577 · outbound

This paper cites Five-diagonal matrices and zeros of orthogonal polyno- mials on the unit circle.

Eigenvalue equations for sieved polynomials or proving Askey right again Five-diagonal matrices and zeros of orthogonal polyno- mials on the unit circle

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.825202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e2251469-2fe5-46c4-b1bb-80386269289d · outbound

This paper cites Orthogonal polynomials old and new, and some combinatorial connections.

Eigenvalue equations for sieved polynomials or proving Askey right again Orthogonal polynomials old and new, and some combinatorial connections

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.816147Z

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Observation 585b4806-dcb2-4aa7-97f7-61c0ab474f97 · outbound

This paper cites Systems of orthogonal polynomials explicitly represented by the jacobi polyno- mials.

Eigenvalue equations for sieved polynomials or proving Askey right again Systems of orthogonal polynomials explicitly represented by the jacobi polyno- mials

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.807195Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 24bcdc12-c85d-43ac-8b66-c866075f2ade · outbound

This paper cites On block recursions, Askey’s sieved Jacobi polyno- mials and two related systems.

Eigenvalue equations for sieved polynomials or proving Askey right again On block recursions, Askey’s sieved Jacobi polyno- mials and two related systems

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.798465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6eb656b4-1678-479e-8a2b-52c04d0b8754 · outbound

This paper cites Sieved orthogonal polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again Sieved orthogonal polynomials

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.789871Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a5631fe7-163c-4bed-b4bc-39d97852c368 · outbound

This paper cites Orthogonal polynomials on the unit circle: symmetrization and quadratic decom- position.

Eigenvalue equations for sieved polynomials or proving Askey right again Orthogonal polynomials on the unit circle: symmetrization and quadratic decom- position

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.781098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a80355ac-739e-4ee5-a980-a87181c99802 · outbound

This paper cites Orthogonal polynomials which satisfy second order differential equations.

Eigenvalue equations for sieved polynomials or proving Askey right again Orthogonal polynomials which satisfy second order differential equations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.771317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2a3e07e3-7dc3-478f-9c66-33bdd24cf2db · outbound

This paper cites Orthogonal polynomials, duality and association schemes.

Eigenvalue equations for sieved polynomials or proving Askey right again Orthogonal polynomials, duality and association schemes

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.761746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4adf10df-af7f-4cc6-8275-7eecf9890fdb · outbound

This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again Two linear transformations each tridiagonal with respect to an eigenbasis of the other; an algebraic approach to the Askey scheme of orthogonal polynomials

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T20:09:34.581654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fe6a675-eff3-4f8f-a79f-1b4fd6594373 · outbound

This paper cites Two linear transformations each tridiagonal with respect to an eigenbasis of the other; com- ments on the parameter array.

Eigenvalue equations for sieved polynomials or proving Askey right again Two linear transformations each tridiagonal with respect to an eigenbasis of the other; com- ments on the parameter array

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.752020Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e84fc1f7-5037-4d8d-a51b-8bd4ae58c8d9 · outbound

This paper cites Hypergeometric orthogonal polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again Hypergeometric orthogonal polynomials

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.742521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 12ae3c54-d8ac-4750-902a-3da7cde99086 · outbound

This paper cites A ‘missing’ family of classical orthogonal polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again A ‘missing’ family of classical orthogonal polynomials

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.732629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 93e058d7-911f-4c07-ac55-012d06b7c0c1 · outbound

This paper cites A Bochner theorem for Dunkl polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again A Bochner theorem for Dunkl polynomials

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.722445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e9a3f229-873d-429a-b707-207fc09bd040 · outbound

This paper cites CMV matrices and little and big- 1 Jacobi polynomials.

Eigenvalue equations for sieved polynomials or proving Askey right again CMV matrices and little and big- 1 Jacobi polynomials

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.712947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a88c3560-64be-4b05-aa72-07ab791f2e2e · outbound

This paper cites Bannai-Ito polynomials and dressing chains.

Eigenvalue equations for sieved polynomials or proving Askey right again Bannai-Ito polynomials and dressing chains

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.703027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c4f10f6a-cf10-40b4-887a-4398bf9e52d8 · outbound

This paper cites Orthogonal polynomials on the unit circle.

Eigenvalue equations for sieved polynomials or proving Askey right again Orthogonal polynomials on the unit circle

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.692520Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 01915663-1261-4db7-8de6-cd119c13f006 · outbound

This paper cites OPUC on one foot.

Eigenvalue equations for sieved polynomials or proving Askey right again OPUC on one foot

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.682975Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a8ad68ee-6873-4621-ab45-aee8df6119ae · outbound

This paper cites American Mathematical Soc., 1939.

Eigenvalue equations for sieved polynomials or proving Askey right again American Mathematical Soc., 1939

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.673744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0652a87c-0eb6-484e-b013-fbb0b2af21a4 · outbound

This paper cites Nonsymmetric Askey–Wilson polynomials as vector-valued polyno- mials.

Eigenvalue equations for sieved polynomials or proving Askey right again Nonsymmetric Askey–Wilson polynomials as vector-valued polyno- mials

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:09:34.664238Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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