Pith. sign in

REVIEW 1 cited by

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

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2504.20802 v1 pith:S7HGPHKX submitted 2025-04-29 math.CA

Nicolas Crampé , Lucia Morey , Luc Vinet , Meri Zaimi This is my paper · ORCID
classification math.CA
keywords contiguityrelationsfamiliespolynomialsaskeyconditionsfinitescheme
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

This paper classifies the contiguity relations for finite families of polynomials within the ($q$-)Askey scheme. The necessary and sufficient conditions for the existence of these contiguity relations are presented first. These conditions are then solved, yielding a comprehensive list of contiguity relations for these various families of polynomials. Furthermore, we demonstrate that all contiguity relations correspond to spectral transforms.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Exactly solvable inhomogeneous XY spin chain

    math-ph 2025-07 conditional novelty 6.0 of 10

    Two new families of inhomogeneous XY spin chains are constructed whose spectra and eigenvectors follow exactly from the B2-contiguity relations of q-Racah polynomials.

Pith tools