A uniform asymptotic expansion for the incomplete gamma function

DOI10.1016/S0377-0427(02)00553-8zbMath1013.33002WikidataQ56271102 ScholiaQ56271102MaRDI QIDQ1860449

Richard B. Paris

Publication date: 23 February 2003

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

zbMATH Keywords

incomplete gamma functionuniform asymptotic expansion

Mathematics Subject Classification ID

Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (7)

Large gap asymptotics on annuli in the random normal matrix model ⋮ Asymptotic expansions for the incomplete gamma function in the transition regions ⋮ Convergent expansions of the incomplete gamma functions in terms of elementary functions ⋮ Model Selection for Classification with a Large Number of Classes ⋮ An objective Bayes factor with improper priors ⋮ A simplification of Laplace's method: applications to the gamma function and Gauss hypergeometric function ⋮ Incomplete gamma functions for large values of their variables

Cites Work

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• The asymptotic evaluation of certain integrals
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• Asymptotische Eigenschaften der unvollständigen Gammafunktionen
• NEW ASYMPTOTIC FORMULAS FOR THE RIEMANN ZETA FUNCTION ON THE CRITICAL LINE
• Computation of the incomplete gamma function ratios and their inverse
• The Asymptotic Expansion of the Incomplete Gamma Functions
• Asymptotics for the Kummer function of Bose plasmas
• Exponential integral integral infinity 1 e-xtt -ndt for large values of n

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