Error bounds and exponential improvements for the asymptotic expansions of the gamma function and its reciprocal

DOI10.1017/S0308210513001558zbMath1321.33004arXiv1310.0166OpenAlexW3101200700MaRDI QIDQ5500281

Gergő Nemes

Publication date: 5 August 2015

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.0166

zbMATH Keywords

Stokes discontinuitiesasymptotic expansions of the gamma functionBoyd's resurgence formula

Mathematics Subject Classification ID

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

Related Items (6)

The Resurgence Properties of the Incomplete Gamma Function II ⋮ The gamma function via interpolation ⋮ New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function ⋮ Second-order Chebyshev-Edgeworth and Cornish-Fisher expansions for distributions of statistics constructed from samples with random sizes ⋮ Unnamed Item ⋮ Dingle’s final main rule, Berry’s transition, and Howls’ conjecture ^*

Uses Software

• DLMF

Cites Work

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• Uniform, Exponentially improved, Asymptotic Expansions for the Generalized Exponential Integral
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• Why Steepest Descents?

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