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

Authors

  • Mohd. Farman Ali School of Mathematics and Allied Sciences, Jiwaji University, Gwalior, Address

DOI:

https://doi.org/10.37591/rrdms.v3i3.867

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.

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Published

2017-02-01

Issue

Vol. 3 No. 3 (2016)

Section

Research Articles

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