Asymptotics of the first Appell functionF1with large parameters

DOI10.1080/10652469.2012.753071zbMath1280.33013OpenAlexW1970053524MaRDI QIDQ2854316

Ester Pérez Sinusía, Pedro J. Pagola, José Luis López

Publication date: 18 October 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.753071

zbMATH Keywords

Laplace's methodAppell hypergeometric function \(F_1\)asymptotic expansion for large parameters

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Appell, Horn and Lauricella functions (33C65)

Related Items (1)

Generating functions of Pollaczek polynomials: a revisit

Uses Software

• DLMF

Cites Work

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• A simplification of Laplace's method: applications to the gamma function and Gauss hypergeometric function
• Large parameter cases of the Gauss hypergeometric function
• UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS III
• The Laplace's and steepest descents methods revisited
• Computing the Coefficients in Laplace's Method
• Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables

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