@article{tjant2015351,
author={{Srivastava, H. M. and Jain, Rashmi and Bansal, M. K.},
title={A Study of the S-Generalized Gauss Hypergeometric Function and Its Associated Integral Transforms},
journal={Turkish Journal of Analysis and Number Theory},
volume={3},
number={5},
pages={116--119},
year={2015},
url={http://pubs.sciepub.com/tjant/3/5/1},
issn={2333-1232},
abstract={The aim of the present paper is to further investigate the S-generalized Gauss hypergeometric function which was recently introduced by Srivastava et al. [8]. In the course of our study, we first present an integral representation, the Mellin transform and a complex integral representation of the S-generalized Gauss hypergeometric function. Next, we introduce a new integral transform whose kernel is the S-generalized Gauss hypergeometric function and point out its three special cases which are also believed to be new. We specify that the well-known Gauss hypergeometric function transform follows as a simple special case of our integral transforms. Finally, we establish an inversion formula for the integral transform which we have introduced in this investigation.},
doi={10.12691/tjant-3-5-1}
publisher={Science and Education Publishing}
}