A note on a generalisation of a definite integral involving the Bessel function of the first kind
Classical Analysis and ODEs
2022-05-09 v1
Abstract
We consider a generalisation of a definite integral involving the Bessel function of the first kind. It is shown that this integral can be expressed in terms of the Fox-Wright function of one variable. Some consequences of this representation are explored by suitable choice of parameters. In addition, two closed-form evaluations of infinite series of the Fox-Wright function are deduced.
Keywords
Cite
@article{arxiv.2205.03161,
title = {A note on a generalisation of a definite integral involving the Bessel function of the first kind},
author = {S A Dar and M Kamarujjama and R B Paris},
journal= {arXiv preprint arXiv:2205.03161},
year = {2022}
}
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9 pages, 0 figures