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 |
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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