(p, q)-EXTENSION OF THE WHITTAKER FUNCTION AND ITS CERTAIN PROPERTIES

被引：0
|
作者：
Dar, Showkat Ahmad [1 ]
Shadab, Mohd [1 ]
机构：
[1] Jamia Millia Islamia, Fac Engn & Technol, Dept Appl Sci & Humanities, New Delhi 110025, India
来源：
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2018年 / 33卷 / 02期
关键词：
Whittaker function; extended Beta function; Mellin transform; extended confluent hypergeometric function; Laguerre polynomials; extended Gauss hyper geometric function;
D O I：
10.4134/CKMS.c170032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we obtain a (p, q)-extension of the Whittaker function M-k,(mu) (z) together with its integral representations, by using the extended confluent hypergeometric function of the first kind Phi(p,q) (b; c; z) [recently extended by J. Choi]. Also, we give some of its main properties, namely the summation formula, a transformation formula, a Mellin transform, a differential formula and inequalities. In addition, our extension on Whittaker function finds interesting connection with the Laguerre polynomials.
引用
收藏
页码：619 / 630
页数：12
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