Asymptotic zero distribution of a class of \(_{3}F_{2}\) hypergeometric functions

DOI10.1016/S0019-3577(03)90049-8zbMath1061.33002MaRDI QIDQ1432895

Kathy A. Driver, Kerstin Jordaan

Publication date: 22 June 2004

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

asymptotic zero distributionhypergeometric polynomials\(_3F_2\)

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (6)

Pólya frequency sequences and real zeros of some \(_3F_2\) polynomials ⋮ The asymptotic zero distribution of Lommel polynomials as functions of their order with a variable complex argument ⋮ Asymptotic root distribution of Charlier polynomials with large negative parameter ⋮ Asymptotic distributions of the zeros of certain classes of hypergeometric functions and polynomials ⋮ Quasi-orthogonality and real zeros of some \(_2F_2\) and \(_3F_2\) polynomials ⋮ Asymptotic distributions of the zeros of a family of hypergeometric polynomials

Cites Work

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• Asymptotic zero distribution of hypergeometric polynomials
• Incomplete rational approximation in the complex plane
• Zeros of hypergeometric polynomials \(F(-n,b;-2n;z)\)
• Asymptotic properties of zeros of hypergeometric polynomials

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