The asymptotics of a generalised Struve function

R B Paris

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arXiv · 1711.10480

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. {\bf 54} (2017) 575--598] as \[(\frac{1}{2} z)^{\nu+1}\sum_{n=0}^\infty\frac{(\frac{1}{2} z)^{2n}}{\Gamma(n+\frac{3}{2}) \Gamma(an+\nu+\frac{3}{2})},\] 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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R B Paris. 2017-11-28. The asymptotics of a generalised Struve function. https://arxiv.org/abs/1711.10480

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