R-L F Integral and Triple Dirichlet Average of the R-Series

Abstract

Abstract

In this article, we establish the relation between some results of triple Dirichlet average of the R-series and fractional operators. We use a new special function called as R-series, which is a special case of H-function given by Inayat Hussain. In this article, the solution is obtained in compact form of triple Dirichlet average of R-series as well as conversion into single Dirichlet average of R-series, using fractional integral.

Keywords: Dirichlet averages, special functions, R-series and Riemann-Liouville fractional integral

Cite this Article

Mohd. Farman Ali. R-L F Integral and Triple Dirichlet Average of the R-Series. Research & Reviews: Discrete Mathematical Structures. 2016; 3(3):   6–12p.