Abstract
We obtain a (p,ν)-extension of Srivastava’s triple hypergeometric function HC(•) by employing the extended Beta function Bp,ν(x, y) introduced in Parmar et al. [J. Class. Anal. 11 (2017), 91-106]. We give some of the main properties of this extended function, which include several integral representations, the Mellin transform, a differential formula, recursion formulas and a bounded inequality.
Original language | English |
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Pages (from-to) | 33-45 |
Number of pages | 13 |
Journal | Publications de l'Institut Mathematique |
Volume | 108 |
Issue number | 122 |
Early online date | 2 Dec 2020 |
DOIs | |
Publication status | Published - 2 Dec 2020 |
Keywords
- Srivastava’s triple hypergeometric functions
- Beta and Gamma functions
- Modified Bessel functions
- Bounded inequality