Multi-Indexed Whittaker Function and its Properties

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Authors

  • Savita Panwar
     Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida ,IN
  • Prakriti Rai
     Department of Mathematics, Siddharth University, Kapilvastu ,IN

DOI:

https://doi.org/10.18311/jims/2023/31297

Keywords:

Extended Beta Function, Gauss Hypergeometric Function, Confluent Hypergeometric Function, Multi-Index Mittag-Leffler Function, Whittaker Function and Extended Whittaker Function.

Abstract

In this paper, we have introduced the multi-indexed Whittaker function (3m-parameter) by using the extended confluent hypergeometric function which is defined in terms of multi-indexed (3m-parameter) Mittag-Leffler function. We derive some properties of multi-indexed (3m-parameter) Whittaker function such as its integral representations, derivative formula and Hankel transform.

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Published

2023-03-24

How to Cite

Panwar, S., & Rai, P. (2023). Multi-Indexed Whittaker Function and its Properties. The Journal of the Indian Mathematical Society, 90(1-2), 115–124. https://doi.org/10.18311/jims/2023/31297

Issue

Volume 90, Issue 1-2, January-June 2023

Section

Articles

License

Copyright (c) 2023 Savita Panwar, Prakriti Rai

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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