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arxiv: 1801.08032 · v1 · pith:B2AYGCXMnew · submitted 2018-01-22 · 🧮 math.CA

An extension of the Whittaker function

classification 🧮 math.CA
keywords functionwhittakerextensionformulasomeactivelybeencases
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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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