A note on extended beta, Gauss and confluent hypergeometric functions

被引：0
|
作者：
Ali, Musharraf [1 ]
Ghayasuddin, Mohd [2 ]
机构：
[1] GF Coll, Dept Math, Shahjahanpur 242001, India
[2] Integral Univ, Dept Math, Centre Shahjahanpur 242001, India
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2021年 / 46期
关键词：
Beta function; extended beta function; Gauss hypergeometric function; extended Gauss hypergeometric function; confluent hypergeometric function; extended confluent hypergeometric function; Mittag-Leffler function; EXTENSION; GAMMA;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main object of this article is to present a new extension of beta function by making use of the generalized Mittag-Leffler function. Some integral representations and summation formulae for this function are also given in a systematic way. Next, we define a new type of beta distribution as an application of our extended beta function. Moreover, we consider a further extension of Gauss and confluent hypergeometric functions by introducing our new beta function.
引用
收藏
页码：815 / 826
页数：12
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