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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 18, Issue 2 Article
Research Article

FRACTIONAL INTEGRAL OF WHITTAKER k-FUNCTION AND ITS PROPERTIES

S
Savita Panwar Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, Uttar Pradesh - 201313, INDIA
P
Prakriti Rai Department of Mathematics, Siddharth University, Kapilvastu, Uttar Pradesh, INDIA
Volume 18, Issue 2 Pages 39-52 August 30, 2022 350 downloads
Article overview

Abstract

In this paper, we introduce a generalized form of Whittaker function with the help of generalized confluent k-hypergeometric function. We establish several interesting properties of the Whittaker k-function such as its integral representations, derivative, Laplace transform and Hankel transform. Further, we investigate the Riemann-Liouville fractional integral and k-Riemann-Liouville fractional integral of Whittaker k-function. Some intriguing particular cases of the main results are also mentioned.

Keywords and Phrases

k-Gamma functionk-Beta functionConfluent k-hypergeometric functionWhittaker functionLaplace transformHankel transform and Riemann-Liouville fractional integral.

AMS Subject Classification

33B15, 33C15, 26A33.

Reference information

How to Cite

Savita Panwar, Prakriti Rai (2022). FRACTIONAL INTEGRAL OF WHITTAKER k-FUNCTION AND ITS PROPERTIES. South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 39-52.
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