Asymptotics of the generalized exponential integral, and error bounds in the uniform asymptotic smoothing of its Stokes discontinuities

DOI10.1098/RSPA.1996.0069zbMath0866.41025OpenAlexW2118314319MaRDI QIDQ3127888

T. M. Dunster

Publication date: 13 April 1997

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1996.0069

zbMATH Keywords

generalized exponential integralerror boundsuniform asymptotic approximations

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (4)

Simplified Asymptotic Solutions of Differential Equations Having Two Turning Points, with an Application to Legendre Functions ⋮ The Resurgence Properties of the Incomplete Gamma Function II ⋮ Error analysis in a uniform asymptotic expansion for the generalised exponential integral ⋮ Asymptotic expansions for the incomplete gamma function in the transition regions

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