Fractional integral operators involving the product of Srivastava polynomials and Srivastava-Panda multivariable $ H $ -functions of generalized arguments

Abstract

 The paper deals with two fractionalintegral formulae involving the product of a general class ofpolynomials and multivariate $H$-function. The first involves theoperator $_cI_z^v[f(z)]$ whereas second is associated with theintegral operator $I_z^{\eta, v}[f(z)]$. In our fractional integralformulae we have taken all the functions and polynomials with ageneralized argument. The formulae, we have introduced here, are incompact form and basic in nature. A number of known and new resultshave been obtained by proper choice of parameters. For the sake ofillustration, we record here some particular cases of our mainresults.