CERTAIN GENERALIZED FRACTIONAL CALCULUS FORMULAS AND INTEGRAL TRANSFORMS OF (p, q)-EXTENDED τ -HYPERGEOMETRIC FUNCTION.

Autor: Gupta, Mamta, Modi, Kanak, Jha, Naveen, Sharma, Mukesh
Předmět:
Zdroj: South East Asian Journal of Mathematics & Mathematical Sciences; 2022, Vol. 18 Issue 3, p87-100, 14p
Abstrakt: In this paper, we established certain image formulas of the (p, q)–extended τ hypergeometric function Rτ p,q(a, b; c; z) by employing Marichev-Sigo-Maeda(M-S M) fractional integration and differentation formulas. Corresponding special cases for the Saigo’s, Riemann-Liouville and Erdelyi-Kober fractional integral and differential operators are also deduced which are earlier obtained by Solanki et al. [23]. Further certain integral transforms of the (p, q)–extended τ hypergeometric function Rτ p,q(a, b; c; z) are established. All the results are represented in terms of the Hadamard product of the (p, q)–extended τ hypergeometric function Rτ p,q(a, b; c; z) and the Fox-Wright function. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index