UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS III

DOI10.1142/S0219530510001588zbMath1190.33002MaRDI QIDQ3560102

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Publication date: 19 May 2010

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionsGaussian hypergeometric function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Classical hypergeometric functions, ({}_2F_1) (33C05) Asymptotic representations in the complex plane (30E15)

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Cites Work

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• The ABC of hyper recursions
• The special functions and their approximations. Vol. I, II
• Asymptotics of the hypergeometric function
• Numerically satisfactory solutions of hypergeometric recursions
• Uniform Airy-Type Expansions of Integrals
• UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS I
• UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS II