Abstract
the present paper we evaluate a number of key Eulerian integrals involving the H- function of several complex 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. Few particular cases are also considered.
Highlights
In the present paper we evaluated general Eulerian integrals which contain the results of Srivastava and Hussain [24] and give many more interesting key formulas
In this paper we evaluate general Eulerian. integrals involving H- function of several complex variables, which was.·defined by srivastava and:Panda [16, p. 271 (4.1)
We use the Eulerian integral (1.2) and interpret the resulting Mellin - Barnes contour integral as an Hfunction ofr variables
Summary
Srivastava and Hussain [24] made use of (1.4) in order to evaluate Eulerian integrals of the multivariable H- function and generalize the Eulerian integrals in terms of an H-function of two variables by Saxena and Nishimoto [10]. In the present paper we evaluated general Eulerian integrals which contain the results of Srivastava and Hussain [24] and give many more interesting key formulas. The computation of fractional derivatives (and fractional integrals) of special functions of one and more variables is important because of usefulness of these results, such as in evaluation of the series and integrals [5,27] "derivation of generating functions
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