ANALYSIS OF AN EXTENDED WHITTAKER FUNCTION AND ITS PROPERTIES

For the numerous uses and significance of the Whittaker func-tion in the diverse research areas of mathematical sciences and engineer-ing sciences, This paper aims to introduce an extension of the Whittaker function by using a new extended confluent hypergeometric function of the first kind in terms of the Mittag-Leffler function. We also drive var-ious valuable results like integral representation, integral transform and derivative formula. Further, we also analyze specific known results as a particular case of the main result.