Error analysis in a uniform asymptotic expansion for the generalised exponential integral
type: Item
instance of: scholarly article
title: Error analysis in a uniform asymptotic expansion for the generalised exponential integral
zbMATH Open document ID: 0870.33002
DOI: 10.1016/S0377-0427(97)00026-5
author: T. M. Dunster
published in: Journal of Computational and Applied Mathematics
publication date: 1997-09-08T00:00:00Z
Mathematics Subject Classification ID: 33B20
Mathematics Subject Classification ID: 34E20
Mathematics Subject Classification ID: 34E05
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 41A60
zbMATH DE Number: 1034171
zbMATH Keywords: uniform asymptotic expansions
zbMATH Keywords: incomplete gamma functions
zbMATH Keywords: turning point theory
zbMATH Keywords: error function
zbMATH Keywords: generalised exponential integral
MaRDI profile type: Publication
cites work: Uniform asymptotic smoothing of Stokes’s discontinuities
cites work: On the Lambert \(w\) function
cites work: Asymptotic solutions of second-order linear differential equations having almost coalescent turning points, with an application to the incomplete gamma function
cites work: Asymptotics of the generalized exponential integral, and error bounds in the uniform asymptotic smoothing of its Stokes discontinuities
cites work: Error bounds for exponentially improved asymptotic solutions of ordinary differential equations having irregular singularities of rank one
cites work: Exponentially improved asymptotic solutions of ordinary differential equations. II. Irregular singularities of rank one
cites work: Q4059363
cites work: Uniform, Exponentially improved, Asymptotic Expansions for the Generalized Exponential Integral
cites work: The Asymptotic Expansion of the Incomplete Gamma Functions
cites work: Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
full work available at URL: s0377-0427(97)00026-5
OpenAlex ID: W2141605681
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description: scientific article; zbMATH DE number 1034171