• 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.
Keywords
Full Text:
PDFThis work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |