The Journal of the Indian Mathematical Society

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Multi-Indexed Whittaker Function and its Properties


Affiliations
1 Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, India
2 Department of Mathematics, Siddharth University, Kapilvastu, India
     

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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.

Keywords

Extended Beta Function, Gauss Hypergeometric Function, Confluent Hypergeometric Function, Multi-Index Mittag-Leffler Function, Whittaker Function and Extended Whittaker Function.
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  • 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, India
Prakriti Rai
Department of Mathematics, Siddharth University, Kapilvastu, India

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.

Keywords


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

References