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Asymptotic zero distribution of hypergeometric polynomials

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Publication:1817785
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DOI10.1023/A:1019197027156zbMath0935.33004MaRDI QIDQ1817785

Peter Duren, Kathy A. Driver

Publication date: 4 May 2000

Published in: Numerical Algorithms (Search for Journal in Brave)


zbMATH Keywords

Jacobi polynomialsLegendre functionsasymptotic zero distributionhypergeometric polynomials


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20)


Related Items

Asymptotic distribution of zeros of a certain class of hypergeometric polynomials ⋮ Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials ⋮ Zeros of hypergeometric functions in the \(p\)-adic setting ⋮ Asymptotic zero distribution of a class of \(_{3}F_{2}\) hypergeometric functions ⋮ Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\) ⋮ Riemann--Hilbert analysis for Jacobi polynomials orthogonal on a single contour ⋮ Asymptotic properties of zeros of hypergeometric polynomials ⋮ Strong asymptotics for Jacobi polynomials with varying nonstandard parameters ⋮ Zeros of hypergeometric functions



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