Ram Niwas Meghwal
Department of Mathematics, Government College, sujangarh, India.
Dr. K.G. Bhadana
Department of Mathematics, SPC Government College, Ajmer, India.
Generalized Fractional integrals involving Eulerian Integral of H- Function
Authors
Abstract
A large number of fractional integral formulas involving certain special functions have
been presented. Here, in this paper, our aim at establishing three fractional integral
formulas involving the products of the multivariable H-function by using generalized
fractional integration operators given by Saigo and Maeda [M. Saigo, N. Maeda, Varna,
Bulgaria, (1996), 386–400]. the present paper we evaluate a number of
key Eulerian integrals involving the H- function of several variables. Our general
Eulerian integral formulas are shown to provide the key formulae from which numerous
other potentially useful results for various families of generalized hypergeometric
functions of several variables can be derived. In this paper, we evaluate a class of
MacRobert’s integral associ-ated with the multivariable I-function defined by Nambisan
et al [1],
Also using I-Function on ‘Certatain class of eulerian integrals of multivariable
generalized hypergeometric function’ (for details of H-function ,see [2-6] [7], [8],Saxena
and Nishimoto [9],H.S.P. Srivastava [10]