An extension of the Whittaker function Commun. Korean Math. Soc. Published online March 8, 2021 Junesang Choi, Kottakkaran Sooppy Nisar, and Gauhar Rahman Dongguk University, Prince Sattam bin Abdulaziz University, Hazara University Abstract : The Whittaker function and its diverse extensions have been actively investigated. Here we aim to 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. Keywords : Beta function; Extended Beta function, Confluent hypergeometric function; Extended confluent hypergeometric function; Hypergeometric function; Extended hypergeometric function; Whittaker function; Extended Whittaker function; Mellin transform MSC numbers : 33B20, 33C20, 33B15, 33C05 Full-Text :