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Paper Citation Record · LEDGER

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme

As of 16 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 2 inbound Pith citation observations for arXiv:2504.20802.

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pith.paper-citation-record.v1
2504.20802 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:27:21.769543Z

measured 31 of 31 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:05:06.288782Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T19:19:34.535733Z

Reference resolution

29 of 29 outbound references displayed

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  • verified fuzzy13
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External citation measurements

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Outbound references

Observation 44d8ca6b-377b-4e96-87cc-f665d34f4f71 · outbound

This paper cites Some basic hypergeometric ortho gonal polynomials that generalize Jacobi polynomials,.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Some basic hypergeometric ortho gonal polynomials that generalize Jacobi polynomials,

Reference 1

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Observation 62124110-a0f0-47b2-9bc1-1e7e32351403 · outbound

This paper cites Gasper and M.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Gasper and M

Reference 2

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Observation 9dfd200f-8dea-45b0-a5c7-2a85b2f0f48a · outbound

This paper cites Chihara, An Introduction to Orthogonal Polynomials.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Chihara, An Introduction to Orthogonal Polynomials

Reference 3

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Observation 1eb0cff0-587b-44a9-a7c4-631740da7f1d · outbound

This paper cites Koekoek, P.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Koekoek, P

Reference 4

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Observation dab4dbca-89d4-4a1f-8774-b5b103d7eaec · outbound

This paper cites The Rahman polynomials and the Lie algebra sl_3(C).

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme The Rahman polynomials and the Lie algebra sl_3(C)

Reference 5

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Observation c0889df6-2248-4d84-9a2f-11e83e6095d4 · outbound

This paper cites Factorized $A_2$-Leonard pair.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Factorized $A_2$-Leonard pair

Reference 6

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Observation 3f6b75f3-b245-43bd-bdd0-6d626b377987 · outbound

This paper cites $\lambda$-Griffiths polynomials: Bispectrality and biorthogonality.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme $\lambda$-Griffiths polynomials: Bispectrality and biorthogonality

Reference 7

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Observation 5461789e-6736-4ef9-a2ca-46fa0b9ee68c · outbound

This paper cites Griffiths polynomials of Racah type.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Griffiths polynomials of Racah type

Reference 8

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Observation 462383be-72c8-48d6-b310-19008edfee71 · outbound

This paper cites $q$-deformed Griffiths polynomials of Racah type.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme $q$-deformed Griffiths polynomials of Racah type

Reference 9

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Observation f20c6d05-6e7e-4327-a5ef-a560eefa127b · outbound

This paper cites Eigenproblems for tr idiagonal 2-toeplitz matrices and quadratic polynomial mappings,.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Eigenproblems for tr idiagonal 2-toeplitz matrices and quadratic polynomial mappings,

Reference 10

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Observation 8a80d087-7c37-464f-8ce8-303cf18c3060 · outbound

This paper cites The $\mathfrak{su}(2)$ Krawtchouk oscillator model under the ${\cal C}{\cal P}$ deformed symmetry.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme The $\mathfrak{su}(2)$ Krawtchouk oscillator model under the ${\cal C}{\cal P}$ deformed symmetry

Reference 11

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Observation 43ff258c-751e-4cec-bc80-800d0df0c38f · outbound

This paper cites Doubling (Dual) Hahn Polynomials: Classification and Applications.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Doubling (Dual) Hahn Polynomials: Classification and Applications

Reference 12

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Observation 78f1c769-3b9d-4296-98b2-89a8d204c3d4 · outbound

This paper cites A finite quantum oscillator model related to special sets of Racah polynomials.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme A finite quantum oscillator model related to special sets of Racah polynomials

Reference 13

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Observation dc6a9ec1-afeb-470c-82aa-710ae01dbb14 · outbound

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

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme A limit $q=-1$ for the big q-Jacobi polynomials

Reference 14

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Observation 4618e826-ccf1-484f-8734-64450fec6088 · outbound

This paper cites An Exactly Solvable Spin Chain Related to Hahn Polynomials.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme An Exactly Solvable Spin Chain Related to Hahn Polynomials

Reference 15

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Observation a5b314ff-99c7-4083-83c3-c2c396572245 · outbound

This paper cites On a P air of Difference Equations for the 4F3 Type Orthogonal Polynomials and Related Exactly-Solvable Quantum Systems,.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme On a P air of Difference Equations for the 4F3 Type Orthogonal Polynomials and Related Exactly-Solvable Quantum Systems,

Reference 16

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Observation 88085156-3357-4133-9a31-8de141330421 · outbound

This paper cites Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Tridiagonal test matrices for eigenvalue computations: two-parameter extensions of the Clement matrix

Reference 17

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Observation 6ecef522-a6cb-4fea-955f-ec329d6de300 · outbound

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

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Representations of the rank two Racah algebra and orthogonal multivariate polynomials

Reference 18

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source=pdf_text observed=2026-08-16T05:27:21.730069Z digest=sha256:330f1863f16793eec4a93138220dd3728d4346518d4cda8f0b9b221b9ee0b502

Observation f8d079b8-2d90-418d-a584-05667cc2a199 · outbound

This paper cites A bivariate $Q$-polynomial structure for the non-binary Johnson scheme.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme A bivariate $Q$-polynomial structure for the non-binary Johnson scheme

Reference 19

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Observation 090bb370-7795-4932-a02f-94472b8cf929 · outbound

This paper cites Bivariate $P$- and $Q$-polynomial structures of the association schemes based on attenuated spaces.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Bivariate $P$- and $Q$-polynomial structures of the association schemes based on attenuated spaces

Reference 20

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Observation 02114a17-fd53-44da-9419-9f784882ebc8 · outbound

This paper cites Szego, Orthogonal Polynomials.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Szego, Orthogonal Polynomials

Reference 21

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Observation 8e653ca4-515b-477b-b2d3-838d356e7c2c · outbound

This paper cites On the polynomials orthogonal with resp ect to a given number sequence,.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme On the polynomials orthogonal with resp ect to a given number sequence,

Reference 22

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Observation 79f8cd11-f828-408c-b885-6df1b794eb1a · outbound

This paper cites On the polynomials orthogonal with resp ect to a given number sequence and a theorem by W. Hahn,.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme On the polynomials orthogonal with resp ect to a given number sequence and a theorem by W. Hahn,

Reference 23

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Observation 94063395-e4db-4bcd-8382-41efe2b96fb9 · outbound

This paper cites Discrete Darboux trans formations, the discrete-time Toda lattice, and the Askey-Wilson polynomials,.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Discrete Darboux trans formations, the discrete-time Toda lattice, and the Askey-Wilson polynomials,

Reference 24

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Observation 845ceb13-a918-4224-ab21-311c7639d816 · outbound

This paper cites Determinant solutions of the nonautono mous discrete Toda equation associated with the deautonomized discrete KP hierarchy,.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Determinant solutions of the nonautono mous discrete Toda equation associated with the deautonomized discrete KP hierarchy,

Reference 25

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source=pdf_text observed=2026-08-16T05:27:21.755066Z digest=sha256:f1b7eac869875de0ec2e022bd14319cea7f6abdffa8c00a61e01479405526ed5

Observation 63fed290-d3eb-4a2e-ad7c-afe0b3872164 · outbound

This paper cites Bannai and T.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Bannai and T

Reference 26

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Observation 413b1d0e-414c-47a0-952f-f76bc80ff64c · outbound

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

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Dunkl shift operators and Bannai-Ito polynomials

Reference 27

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source=pdf_text observed=2026-08-16T05:27:21.761985Z digest=sha256:b1c6c7be824cb5ea774fc6565acad4cbab9346b07069a6775e0a720792339a70

Observation 7bfed833-160e-47f3-bf0f-9c3c01efef0d · outbound

This paper cites Bispectrality of the Complementary Bannai-Ito Polynomials.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Bispectrality of the Complementary Bannai-Ito Polynomials

Reference 28

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Observation 79b07334-7539-4741-9a5a-8f2e015e8b04 · outbound

This paper cites Rational spectral transformations and o rthogonal polynomials,.

Contiguity relations for finite families of orthogonal polynomials in the Askey scheme Rational spectral transformations and o rthogonal polynomials,

Reference 29

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source=pdf_text observed=2026-08-16T05:27:21.769543Z digest=sha256:4541931407bb53bd4b4c74ef8d5b1440a532de105fa6a017646dc0d48a046aff

Pith citing papers

Observation 0dae73d3-d312-430c-8c6c-8104474e2c38 · inbound

Exactly solvable inhomogeneous XY spin chain cites this paper.

Exactly solvable inhomogeneous XY spin chain Contiguity relations for finite families of orthogonal polynomials in the Askey scheme

Reference 22

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Observation 7e45c3f8-ace9-4b1c-9464-5c032cfd00e0 · inbound

A discrete Smorodinsky--Winternitz I superintegrable system cites this paper.

A discrete Smorodinsky--Winternitz I superintegrable system Contiguity relations for finite families of orthogonal polynomials in the Askey scheme

Reference 5

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