Large parameter cases of the Gauss hypergeometric function

DOI10.1016/S0377-0427(02)00627-1zbMath1019.33003arXivmath/0205065OpenAlexW3103899801MaRDI QIDQ1874182

Nico M. Temme

Publication date: 22 May 2003

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

Full work available at URL: https://arxiv.org/abs/math/0205065

zbMATH Keywords

asymptotic expansionGauss hypergeometric function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Approximation by polynomials (41A10) Classical hypergeometric functions, ({}_2F_1) (33C05)

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