Extensions of beta and related functions
Classical Analysis and ODEs
2020-06-30 v1
Abstract
In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions. We also define a new extension of the well-known beta distribution, the Gauss hypergeometric function and the confluent hypergeometric function in terms of our extended beta function. In addition, some useful properties of these extended functions are also indicated in a systematic way.
Cite
@article{arxiv.2006.15352,
title = {Extensions of beta and related functions},
author = {M. Ghayasuddin and M. Ali and R. B. Paris},
journal= {arXiv preprint arXiv:2006.15352},
year = {2020}
}
Comments
10 pages, 0 figures