Hypergeometric origins of Diophantine properties associated with the Askey scheme
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Publication:3550569
DOI10.1090/S0002-9939-09-10106-5zbMath1193.33016arXiv0903.1722OpenAlexW2151010507MaRDI QIDQ3550569
Yang Chen, Mourad E. H. Ismail
Publication date: 31 March 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.1722
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20)
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Properties of the zeros of generalized basic hypergeometric polynomials, SPECTRAL PROPERTIES OF OPERATORS USING TRIDIAGONALIZATION, The single-indexed exceptional Krawtchouk polynomials, Diophantine properties of orthogonal polynomials and rational functions, Properties of the zeros of the polynomials belonging to the Askey scheme, Properties of the zeros of the polynomials belonging to the \(q\)-Askey scheme, Properties of the zeros of generalized hypergeometric polynomials, Integrability, analyticity, isochrony, equilibria, small oscillations, and Diophantine relations: Results from the stationary Korteweg-de Vries hierarchy
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