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 languageEnglish
    Pages (from-to)83-97
    Number of pages15
    JournalMathematica Æterna
    Volume8
    Issue number2
    Publication statusPublished - 2018

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