Dirichlet Averages of Wright-Type Hypergeometric Function

Naseer Ahmad Malik1*, D. K. Jain2 and Farooq Ahmad3

1Department of Mathematics in Central University of Jharkhand, Brambe, Ranchi. 835205, INDIA. 2Assistant Professor in Department of Applied Mathematics, Madhav Institute of Technology & Science, Gwalior (M.P.), INDIA. 3Assistant Professor in Department of Mathematics, Govt. Degree College Kupwara (J&K), INDIA.


In the present paper, the authors approach is based on the useof Dirichlet averages of the generalized Wright-type hyper geometric function introduced by Wright in like the functions of the Mittag-Leffler type, the functions of the Wright type are known to play fundamental roles in various applications of the fractional calculus. This is mainly due to the fact that they are interrelated with the Mittag-Leffler functions through Laplace and Fourier transformations.

Keywords :Dirichlet Averages, Reimann-Liouville Fractional Integral and Wright type hyper geometric function.

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