Asymptotic analysis via calculus of hypergeometric functions

DOI10.1016/j.jmaa.2015.08.066zbMath1326.33010OpenAlexW1714440462MaRDI QIDQ499255

Petr Blaschke

Publication date: 30 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.08.066

zbMATH Keywords

hypergeometric functionsapproximationsasymptotic expansionsspecial functionsEuler transformfractional hypergeometric functionsPfaff transform

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Appell, Horn and Lauricella functions (33C65)

Cites Work

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• Berezin transform on harmonic Bergman spaces on the real ball
• Large parameter cases of the Gauss hypergeometric function
• The special functions and their approximations. Vol. I, II
• Uniform asymptotic expansions for hypergeometric functions with large parameters IV
• Asymptotics of the Gauss hypergeometric function with large parameters, I
• Asymptotics of the Gauss hypergeometric function with large parameters, II
• UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS III
• UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS I
• UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS II
• Regions of Convergence for Hypergeometric Series in Three Variables.
• Numerical evaluation of Appell's \(F_1\) hypergeometric function

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