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

SUNIL KUMAR SHARMA*, ASHOK SINGH SHEKHAWAT

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.


Keywords


Pathway fractional integral operator, Multivariable H-function, Generalized M-series, Mittag-Leffler function, Bessel-function, Hypergeometric function.

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