R-L-F Integral and Double 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.v4i2.1015

Abstract

Abstract

The object of the present paper is to establish a result of double Dirichlet average of the R-series by using Riemann-Liouville fractional integral. The R-series can be measured as a Dirichlet average and connected with fractional calculus. In this paper, the solution comes in compact form of double Dirichlet average of R-series. The special cases of our results are same as earlier obtained by Saxena et al, for double Dirichlet average of R-series [1].

Mathematics Subject Classification: 26A33, 33A30, 33A25 and 83C99.

Keywords: Dirichlet average, R-series, fractional derivative, fractional calculus operators

Cite this Article

Mohd. Farman Ali. R-L-F Integral and Double Dirichlet Average of the R-Series. Research & Reviews: Discrete Mathematical Structures. 2017; 4(2): 1–6p.


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Published

2017-07-18

Issue

Vol. 4 No. 2 (2017)

Section

Research Articles

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