A Few Explicit Properties Involving Integral Transforms and Fractional Calculus of Srivastava’s Triple Hypergeometric Function Hλ, lC, P,α

In this paper, we obtain an extension of Srivastava’s triple hypergeometric function HC(·) by employing the extended Beta function Bλ,lp,α(x1, x2) introduced in Oraby et al. [12]. We give some of the main properties of this extended function, which include several integral representations, derivative formulas, and a few integral transforms, namely, Euler-Beta transform, Mellin transform, Laplace transform, and Whittaker transform. Further, we establish some results based on the consequences of Riemann-Liouville fractional integral and differential operators on Hλ,lC,p,α(·) . Lastly, we discuss some recursion formulas.