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

页码：184 / 197

页数：14

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