ASYMPTOTICS OF A GAUSS HYPERGEOMETRIC FUNCTION WITH TWO LARGE PARAMETERS: A NEW CASE

DOI10.1017/S1446181119000166zbMath1462.30064OpenAlexW2995785310WikidataQ126530984 ScholiaQ126530984MaRDI QIDQ4983549

John F. Harper

Publication date: 26 April 2021

Published in: The ANZIAM Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446181119000166

zbMATH Keywords

hypergeometric functionsasymptotic expansionslarge parameters

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05) Asymptotic representations in the complex plane (30E15)

Uses Software

• DLMF

Cites Work

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• An explicit formula for the coefficients in Laplace's method
• On the coefficients that arise from Laplace's method
• Asymptotics of the Gauss hypergeometric function with large parameters, I
• Asymptotics of the Gauss hypergeometric function with large parameters, II
• Effect of a negatively surface-active solute on a bubble rising in a liquid
• Asymptotic expansions of the hypergeometric function with two large parameters—application to the partition function of a lattice gas in a field of traps
• Computing the Coefficients in Laplace's Method

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