GENERALIZED FUNCTIONS FOR THE FRACTIONAL CALCULUS AND DIRICHLET AVERAGES

ABSTRACT

The objective of this article is to investigate the Dirichlet averages of the more generalized function for the fractional calculus. (in particular R-function introduced by Hartley and Lorenzo) Representation of such relations are obtained in terms of fractional integral operators in particular Reimann-liouville integrals. Some interesting special cases of the established results associated with generalized Mittag-

Leffler functions due to Saxena, etal , Srivastava and Tomovski, are deduced.

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