Extensions of beta and related functions

被引：0
|
作者：
Musharraf Ali
Mohd Ghayasuddin
Richard Bruce Paris
机构：
[1] G.F. College,Department of Mathematics
[2] Integral University,Department of Mathematics
[3] Abertay University,Division of Computing and Mathematics
来源：
The Journal of Analysis | 2022年 / 30卷
关键词：
Beta function; Extended beta function; Gauss hypergeometric function; Extended Gauss hypergeometric function; Confluent hypergeometric function; Extended confluent hypergeometric function; Bessel-Struve kernel function; Extended beta distribution; 33B15; 33B20; 33C05; 33C15;
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学科分类号：
摘要：
In this paper, we introduce and investigate a new extension of the beta function by means of an integral operator involving a product of Bessel-Struve kernel functions. We also define a new extension of the well-known beta distribution, the Gauss hypergeometric function and the confluent hypergeometric function in terms of our extended beta function. In addition, some useful properties of these extended functions are also indicated in a systematic way.
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页码：717 / 729
页数：12
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