Properties of the zeros of generalized hypergeometric polynomials

DOI10.1016/J.JMAA.2014.05.023zbMath1301.33008arXiv1507.07808OpenAlexW2161068921MaRDI QIDQ2252317

Francesco Calogero, Oksana Bihun

Publication date: 17 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.07808

zbMATH Keywords

Jacobi polynomialsspecial functionshypergeometric polynomialsDiophantine propertiesisospectral matrices

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (6)

Generalized pseudospectral method and zeros of orthogonal polynomials ⋮ Properties of the zeros of generalized basic hypergeometric polynomials ⋮ Matrix-valued hypergeometric Appell-type polynomials ⋮ 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 ⋮ New Properties of the Zeros of Krall Polynomials

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