An extension of the Whittaker function
Classical Analysis and ODEs
2018-01-25 v1
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 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.
Cite
@article{arxiv.1801.08032,
title = {An extension of the Whittaker function},
author = {Gauhar Rahman and Kottakkaran Sooppy Nisar and Junesang Choi},
journal= {arXiv preprint arXiv:1801.08032},
year = {2018}
}