The asymptotic expansion of a generalised incomplete gamma function.

DOI10.1016/S0377-0427(02)00809-9zbMath1041.33002MaRDI QIDQ1872986

Richard B. Paris

Publication date: 19 May 2003

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

zbMATH Keywords

incomplete gamma functionasymptotic expansionexponentially small expansionsgeneralized incomplete gamma function

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items

Exponentially small expansions in the asymptotics of the Wright function

Cites Work

• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• An asymptotic representation for \(\zeta(\frac{1}{2}+it)\)
• Generalized incomplete gamma functions with applications
• Asymptotics and closed form of a generalized incomplete gamma function
• Asymptotische Entwicklungen für unvollständige Gammafunktionen
• The Asymptotic Expansion of the Incomplete Gamma Functions
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