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Paper Citation Record · LEDGER

Eigenvalue equations for sieved polynomials or proving Askey right again

As of 18 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2507.03862.

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pith.paper-citation-record.v1
2507.03862 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

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

measured 28 of 28 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

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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

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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

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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

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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

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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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

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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

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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

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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

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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

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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

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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

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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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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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

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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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:09:34.581654Z digest=sha256:a4306e9d5c680c8e22508f13b0b0ea3689715591fa4127cc2d32f3dd544e8977

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

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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

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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

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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

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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

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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

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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

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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

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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

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source=pdf_text observed=2026-08-06T20:09:34.611144Z digest=sha256:78a4296780995c81900f7a648aa139dbdd5d318b506db0fc19ddd5996c3a2612

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

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source=pdf_text observed=2026-08-06T20:09:34.614394Z digest=sha256:f4d2e9cad47614f04b6e3e89ee28a1d545e24d1929c83f7f15df7bf21aad9790

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