GENERALIZED FUNCTIONS FOR THE FRACTIONAL CALCULUS AND DIRICHLET AVERAGES

ABSTRACT

The objective of this article is to investigate the Dirichlet averages of the moregeneralized function for the fractional calculus. (in particular R-function introducedby Hartley and Lorenzo) Representation of such relations are obtained in terms offractional integral operators in particular Reimann-liouville integrals. Someinteresting 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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