Dirichlet Average and A New Class of Hypergeometric Functions

Vol-4 | Issue-01 | January 2019 | Published Online: 20 January 2019    PDF ( 209 KB )
Author(s)
Rakesh Ranjan 1

1Research Scholar, Department of Mathematics, V.K.S. University, Ara ,Bihar
Abstract

This article investigates the Dirichlet averages or the product of two elementary functions
including their fractional integral representation. Certain results are obtained involving Gaussian hypergeometric functions 2F1(1) and 2F1(2) which illustrate their applicationsand partial derivatives in terms of Dirichlet averages, with respect to various parameters are also reported.
Keywords
Dirichlet averages, Transformations function, Gaussian Hypergeometric function, Partial differential equations. Elliptical integrals..
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