Finite-dimensional representations of difference operators and the identification of remarkable matrices

DOI10.1063/1.4915291zbMath1312.39024arXiv1411.3527OpenAlexW2052131267WikidataQ56979214 ScholiaQ56979214MaRDI QIDQ5245242

Francesco Calogero

Publication date: 7 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3527

zbMATH Keywords

difference operatordifference equationAskey scheme\(q\)-Askey schemematrix-vector equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Difference operators (39A70) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (4)

More, or less, trivial matrix functional equations ⋮ Properties of the zeros of generalized basic hypergeometric polynomials ⋮ Some matrix functional equations ⋮ Perturbations around the zeros of classical orthogonal polynomials

Cites Work

• Properties of the zeros of the polynomials belonging to the Askey scheme
• Unification of Stieltjes‐Calogero type relations for the zeros of classical orthogonal polynomials
• Perturbations around the zeros of classical orthogonal polynomials
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