Representation of Dirichlet Average of K-Series via Fractional Integrals And Special Functions


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Authors

  • Chena Ram Department of Mathematics and Statistics, J.N. Vyas University, Jodhpur, India
  • Palu Choudhary Department of Mathematics and Statistics, J.N. Vyas University, Jodhpur, India
  • K.S. Gehlot Department of Mathematics and Statistics, J.N. Vyas University, Jodhpur, India

Keywords:

K-series, Mittag-Leffler functions, Dirichlet averages, Riemann-Liouville fractional integrals, Hypergeometric function of one and several variables

Abstract

The aim of this paper is to investigate the Dirichlet averages of the K- series. Representations for such constructions in two and multi- dimensional cases are derived in term of the Riemann-Liouville fractional integrals and of the hypergeometric functions of several variables. Special cases when the above Dirichlet averages coincide with different type of the Mittag-Leffler functions and hypergeometric functions of one and several variables are obtained.

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Published

15-12-2013

How to Cite

Chena Ram, Palu Choudhary, & K.S. Gehlot. (2013). Representation of Dirichlet Average of K-Series via Fractional Integrals And Special Functions. International Journal of Mathematics And Its Applications, 1(1), 1–11. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/290

Issue

Vol. 1 No. 1 (2013)

Section

Research Article

License

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.