The resurgence properties of the incomplete gamma function, I

DOI10.1142/S0219530515500128zbMath1347.41041arXiv1408.0674OpenAlexW2143085212MaRDI QIDQ2816965

Gergő Nemes

Publication date: 26 August 2016

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

Full work available at URL: https://arxiv.org/abs/1408.0674

zbMATH Keywords

incomplete gamma functionerror boundsasymptotic expansionsresurgenceStokes phenomenonlate coefficients

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (3)

Asymptotic expansions for the incomplete gamma function in the transition regions ⋮ An extension of Laplace's method ⋮ Marcinkiewicz-Zygmund inequalities for polynomials in Fock space

Uses Software

• DLMF

Cites Work

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• Stokes' phenomenon; smoothing a Victorian discontinuity
• On the coefficients that arise from Laplace's method
• Asymptotische Eigenschaften der unvollständigen Gammafunktionen
• Uniform, Exponentially Improved, Asymptotic Expansions for the Confluent Hypergeometric Function and Other Integral Transforms
• Hyperasymptotics for integrals with saddles
• Gamma function asymptotics by an extension of the method of steepest descents

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