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arXiv · 1801.08032

An extension of the Whittaker function

Gauhar Rahman·Kottakkaran Sooppy Nisar·Junesang Choi
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Abstract

The Whittaker function and its diverse extensions have been actively investigated. Here we introduce an extension of the Whittaker function by using the known extended confluent hypergeometric function $\Phi_{p,v}$ and investigate some of its formulas such as integral representations, a transformation formula, Mellin transform, and a differential formula. Some special cases of our results are also considered.

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Gauhar Rahman, Kottakkaran Sooppy Nisar, Junesang Choi. 2018-01-22. An extension of the Whittaker function. https://arxiv.org/abs/1801.08032

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