Resurgence in the transition region: the incomplete gamma function

DOI10.3842/SIGMA.2024.026MaRDI QIDQ6491129

Gergő Nemes

Publication date: 24 April 2024

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

incomplete gamma functionasymptotic expansionsresurgencetransition regions

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Cites Work

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• The Asymptotic Expansion of the Incomplete Gamma Functions
• Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one
• Hyperasymptotics for multidimensional integrals, exact remainder terms and the global connection problem
• Asymptotic expansions for the incomplete gamma function in the transition regions
• Globally Exact Asymptotics for Integrals with Arbitrary Order Saddles
• INVERSE FACTORIAL-SERIES SOLUTIONS OF DIFFERENCE EQUATIONS
• Gamma function asymptotics by an extension of the method of steepest descents
• Hyperasymptotics for nonlinear ODEs I. A Riccati equation
• Hyperasymptotics for nonlinear ODEs II. The first Painlevé equation and a second-order Riccati equation

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