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.
| Language | English |
|---|---|
| Pages | 237-245 |
| Number of pages | 9 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 348 |
| Early online date | 5 Sep 2018 |
| DOIs | |
| Publication status | E-pub ahead of print - 5 Sep 2018 |
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A (p,q)-extension of Srivastava's triple hypergeometric function HB and its properties. / Dar, S. A.; Paris, R. B.
In: Journal of Computational and Applied Mathematics, Vol. 348, 01.03.2019, p. 237-245.Research output: Contribution to journal › Article
TY - JOUR
T1 - A (p,q)-extension of Srivastava's triple hypergeometric function HB and its properties
AU - Dar, S. A.
AU - Paris, R. B.
PY - 2018/9/5
Y1 - 2018/9/5
N2 - 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.
AB - 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.
U2 - 10.1016/j.cam.2018.08.045
DO - 10.1016/j.cam.2018.08.045
M3 - Article
VL - 348
SP - 237
EP - 245
JO - Journal of Computational and Applied Mathematics
T2 - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
ER -