Abstract
In this paper, we obtain a (p,q)-extension of Srivastava's triple hypergeometric function HB(⋅), by using the extended Beta function Bp,q(x,y) introduced by Choi et al. (2014). We give some of the main properties of this extended function, which include several integral representations involving Exton's hypergeometric function, the Mellin transform, a differential formula, recursion formulas and a bounded inequality. In addition, a new integral representation of the extended Srivastava triple hypergeometric function involving Laguerre polynomials is obtained.
Original language | English |
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Pages (from-to) | 237-245 |
Number of pages | 9 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 348 |
Early online date | 5 Sep 2018 |
DOIs | |
Publication status | Published - 1 Mar 2019 |
Keywords
- Srivastava’s triple hypergeometric functions
- Appell’s hypergeometric functions
- Exton’s triple hypergeometric functions
- Beta and Gamma functions
- Laguerre polynomials
- Eulerian integrals
- Gauss hypergeometric function