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 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 :