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Duality of \(q\)-polynomials, orthogonal on countable sets of points

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Publication:871223
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zbMath1109.33027arXivmath/0411249MaRDI QIDQ871223

U. Klimyk, Natig M. Atakishiyev

Publication date: 16 March 2007

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411249



Mathematics Subject Classification ID

Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)


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Charting the \(q\)-Askey scheme. II. The \(q\)-Zhedanov scheme ⋮ Dualities in the q‐Askey Scheme and Degenerate DAHA ⋮ A classification of sharp tridiagonal pairs ⋮ Scaling limits for the Gibbs states on distance-regular graphs with classical parameters ⋮ On the shape of a tridiagonal pair ⋮ Limits of elliptic hypergeometric biorthogonal functions ⋮ Orthogonal polynomials from Hermitian matrices. II



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