An extension of the Whittaker function

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.

References in corpus (2)

• On an extension of extended Beta and hypergeometric functions
• $(p,q)$-Whittaker function and associated properties and formulas