• FRACTIONAL INTEGRATION OF MULTIVARIABLE H-FUNCTION AND M-SERIES VIA PATHWAY MODEL

Abstract

In this paper, we discuss a composition formula of the so-called pathway fractional integration operator due to Nair with a finite product of multivariable H-function and generalized M-series. Further some interesting results are obtained in terms of corollaries, which involve Meijer G-function, Mittag-Leffler function, Bessel-function, and hypergeometric function. Also we obtained two fractional integral formulas involving left-sided Riemann-Liouville fractional integral operators in section 5.All the results derived here are of general character and can yield number of results in theory of special functions.