INEQUALITIES FOR GAUSSIAN HYPERGEOMETRIC FUNCTIONS

被引：2
|
作者：
Ma, Xiao-Yan [1 ]
Huang, Ti-Ren [1 ]
机构：
[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 01期
关键词：
Gaussian hypergeometric function; Ramanujan's transformation; infinite product; LANDEN;
D O I：
10.7153/jmi-2021-15-01
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors present several hypergeometric transformation inequalities for the Gaussian hypergeometric function F(a,b;c;x), which are the extensions of the known hypergeometric transformation identities such as Ramanujan's cubic transformation identities, by showing the monotonicity properties of certain quotients of F(a,b;c;x) and its special cases. By these results, some related known results are considerably improved.
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页码：1 / 8
页数：8
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