FRACTIONAL INTEGRAL OF WHITTAKER k-FUNCTION AND ITS PROPERTIES
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 259
DOI: 10.56827/SEAJMMS.2022.1802.4
Author :
Savita Panwar (Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, Uttar Pradesh - 201313, INDIA)
Prakriti Rai (Department of Mathematics, Siddharth University, Kapilvastu, Uttar Pradesh, INDIA)
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 function, k-Beta function, Confluent k-hypergeometric function, Whittaker function, Laplace transform, Hankel transform and Riemann-Liouville fractional integral.
A.M.S. subject classification
33B15, 33C15, 26A33.
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