A (p, v)-extension of Srivastava's triple hypergeometric function HB and its properties

被引：0
|
作者：
Dar, Showkat Ahmad [1 ,2 ]
Paris, R. B. [3 ]
机构：
[1] Jamia Millia Islamia, Fac Engn & Technol, Dept Appl Sci & Humanities, New Delhi 110025, India
[2] Univ Kashmir, Post Grad Dept Math, Govt Degree Coll Boys Baramulla, Kashmir 193101, India
[3] Abertay Univ, Div Comp & Math, Dundee DD1 1HG, Scotland
来源：
ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS | 2021年 / 41卷 / 02期
关键词：
Srivastava's triple hypergeometric functions; beta and gamma functions; Exton's triple hypergeometric function; Bessel function; bounded inequality;
D O I：
10.1515/anly-2018-0070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we obtain a (p, v)-extension of Srivastava's triple hypergeometric function H-B(center dot), by using the extended beta function B-p,B-v(x, y) introduced in [R. K. Parmar, P. Chopra and R. B. Paris, On an extension of extended beta and hypergeometric functions, J. Class. Anal. 11 (2017), no. 2, 91-106]. We give some of the main properties of this extended function, which include several integral representations involving Exton's hypergeometric function, the Mellin transform, a differential formula, recursion formulas and a bounded inequality.
引用
收藏
页码：113 / 122
页数：10
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