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 |
|---|---|
| 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 |
Fingerprint Dive into the research topics of 'A (p,q)-extension of Srivastava's triple hypergeometric function H<sub>B</sub> and its properties'. Together they form a unique fingerprint.
Cite this
Dar, S. A., & Paris, R. B. (2019). A (p,q)-extension of Srivastava's triple hypergeometric function HB and its properties. Journal of Computational and Applied Mathematics, 348, 237-245. https://doi.org/10.1016/j.cam.2018.08.045