The asymptotics of a generalised Struve function

R. B. Paris

The asymptotics of a generalised Struve function

R. B. Paris

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Abstract

A generalised Struve function has recently been introduced by Ali, Mondal and Nisar [J. Korean Math. Soc. 54 (2017) 575–598] as ( 1 2 z) ν+1 X∞ n=0 ( 1 2 z) 2n Γ(n + 3 2 )Γ(an + ν + 3 2 ) , where a is a positive integer. In this paper, we obtain the asymptotic expansions of this function for large complex z when a is a real parameter satisfying a > −1. Some numerical examples are presented to confirm the accuracy of the expansions.

Original language	English
Pages (from-to)	83-97
Number of pages	15
Journal	Mathematica Æterna
Volume	8
Issue number	2
Publication status	Published - 2018

Keywords

Modified Struve function
Asymptotic expansion
Exponentially small expansions
Stokes phenomenon

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AB - A generalised Struve function has recently been introduced by Ali, Mondal and Nisar [J. Korean Math. Soc. 54 (2017) 575–598] as ( 1 2 z) ν+1 X∞ n=0 ( 1 2 z) 2n Γ(n + 3 2 )Γ(an + ν + 3 2 ) , where a is a positive integer. In this paper, we obtain the asymptotic expansions of this function for large complex z when a is a real parameter satisfying a > −1. Some numerical examples are presented to confirm the accuracy of the expansions.

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SP - 83

EP - 97

JO - Mathematica Æterna

JF - Mathematica Æterna

SN - 1314-3344

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The asymptotics of a generalised Struve function

Abstract

Keywords

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