Asymptotic distribution of zeros of polynomials satisfying difference equations

DOI10.1016/S0377-0427(02)00564-2zbMath1019.33008arXivmath-ph/9811018OpenAlexW2066397443MaRDI QIDQ1863681

I. V. Krasovsky

Publication date: 12 March 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9811018

zbMATH Keywords

asymptoticsorthogonal polynomialszeros

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Real polynomials: location of zeros (26C10)

Related Items (7)

Global Asymptotics for Meixner-Pollaczek Polynomials with a Varying Parameter ⋮ On the spacings between the successive zeros of the Laguerre polynomials ⋮ On the zeros of Meixner polynomials ⋮ Uniform asymptotics for Meixner-Pollaczek polynomials with varying parameters ⋮ Spectral collocation methods for differential-algebraic equations with arbitrary index ⋮ On extreme zeros of classical orthogonal polynomials ⋮ Uniform asymptotics and zeros of a system of orthogonal polynomials defined via a difference equation

Cites Work

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• On Asymptotic Average Properties of Zeros of Orthogonal Polynomials
• Sum rules for zeros of polynomials. I
• A Discrete Approach to Monotonicity of Zeros of Orthogonal Polynomials

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