On an extension of extended Beta and hypergeometric functions
Classical Analysis and ODEs
2015-02-24 v1
Abstract
Motivated mainly by certain interesting recent extensions of the Gamma, Beta and hypergeometric functions, we introduce here new extensions of the Beta function, hypergeometric and confluent hypergeometric functions. We systematically investigate several properties of each of these extended functions, namely their various integral representations, Mellin transforms, derivatives, transformations, summation formulas and asymptotics. Relevant connections of certain special cases of the main results presented here are also pointed out.
Cite
@article{arxiv.1502.06200,
title = {On an extension of extended Beta and hypergeometric functions},
author = {R. K. Parmar and P. Chopra and R. B. Paris},
journal= {arXiv preprint arXiv:1502.06200},
year = {2015}
}
Comments
14 pages, 0 figures