Asymptotic zero distribution of a class of hypergeometric polynomials

DOI10.2989/16073600709486195zbMath1141.33001arXiv1107.2236OpenAlexW2058602575MaRDI QIDQ5426709

Sarah Jane Johnston, Kathy A. Driver

Publication date: 13 November 2007

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2236

zbMATH Keywords

Jacobi polynomialshypergeometric polynomialsAsymptotic zero distribution

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 (5)

Root-counting Measures of Jacobi Polynomials and Topological Types and Critical Geodesics of Related Quadratic Differentials ⋮ The asymptotic zero distribution of Lommel polynomials as functions of their order with a variable complex argument ⋮ Zeros of hypergeometric functions in the \(p\)-adic setting ⋮ Hypergeometric polynomials are optimal ⋮ Asymptotic root distribution of Charlier polynomials with large negative parameter

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