FRACTIONAL DIFFERINTEGRAL FORMULAS INVOLVING R-FUNCTION AND RELATED HYPERGEOMETRIC FUNCTIONS
V. B. L. CHAURASIA
Department of Mathematics, University of Rajasthan, Jaipur-302055, India
S. C. PANDEY *
Department of Mathematics, Banasthali University, Jaipur Campus, Jaipur-302001, India.
*Author to whom correspondence should be addressed.
In view of various applications, usefulness and importance of fractional calculus operators in many dierent physical problems related to astrophysics, radiation physics, nuclear physics and many other elds of science, the authors derived a number of key results for the R-function and related functions involving the Riemann-Liouville, the Weyl, and another fractional calculus operator based on Cauchy-Goursat integral formula. A number of new results associated with other special functions can also be derived from the results obtained in this paper.
Keywords: Fractional calculus, R-function, Generalized Wright function, Riemann-Liouville operator, Weyl opera-tor, Cauchy-Goursat Integral Formula, Generalized hypergeometric function