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

页码：815 / 826

页数：12

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