Results Concerning the Analysis of Multi-Index Whittaker Function. (23rd February 2022)

• Record Type: Journal Article
• Authors: Khan, Nabiullah; Husain, Saddam; Usman, Talha; Araci, Serkan
• Other Names: Cesarano Clemente Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-02-23
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/3828104
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : A variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas. In this paper, we aim to introduce a new extension of Whittaker function in terms of multi-index confluent hypergeometric function of first kind. We discuss multifarious properties of newly defined multi-index Whittaker function such as integral representation, integral transform (i.e., Mellin transform and Hankel transform), and derivative formula. The results presented here, being very general, are pointed out to reduce to yield some known or new formulas and identities for relatively functions.