ANALYSIS OF AN EXTENDED WHITTAKER FUNCTION AND ITS PROPERTIES

被引：1
|
作者：
Khan, Nabiullah [1 ]
Husain, Saddam [1 ]
Khan, M. Iqbal [1 ]
机构：
[1] Aligarh Muslim Univ, Fac Engn & Technol, Dept Appl Math, Aligarh 202002, India
来源：
HONAM MATHEMATICAL JOURNAL | 2023年 / 45卷 / 02期
关键词：
Gamma function; beta function; hypergeometric function; confluent hypergeometric function; Mellin transform; Whittaker function; BETA; EXTENSION;
D O I：
10.5831/HMJ.2023.45.2.184
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：184 / 197
页数：14
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