A STUDY OF SOME INTEGRAL TRANSFORMS ON Q FUNCTION

Diksha Bhatnagar; Rupakshi Mishra Pandey

Diksha Bhatnagar Department of Applied Mathematics, Amity Institute of Applied Sciences, Amity University Uttar Pradesh, NOIDA-201313, INDIA

Rupakshi Mishra Pandey Department of Applied Mathematics, Amity Institute of Applied Sciences, Amity University Uttar Pradesh, NOIDA-201313, INDIA

Volume 16, Issue 1 Pages 99-110 April 30, 2020 275 downloads

Article overview

Abstract

The present paper deals with the new generalization of a Q function using generalized Mittag-Leffler function .The Mittag-Leffler function arises usually in the solution of fractional order differential equation and fractional order integral equations. Various Integral Transforms such as Laplace transform, Fourier transform, Euler beta transform and Whittaker transform with their several special cases are obtained to illustrate our main results.

Keywords and Phrases

Mittag-Leffler functionGeneralized Mittag-Leffler functionLaplace transformFourier transformEuler beta transformWhittaker transform.

AMS Subject Classification

33E12, 44A10, 26A33.

Reference information

How to Cite

Diksha Bhatnagar, Rupakshi Mishra Pandey (2020). A STUDY OF SOME INTEGRAL TRANSFORMS ON Q FUNCTION. South East Asian Journal of Mathematics and Mathematical Sciences, 16(1), 99-110.

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