A note on Ramanujan's identities involving the hypergeometric function 2F1(1/6, 5/6; 1; z)

被引：0

作者：

Shen, Li-Chien ^{[1
]}

机构：

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

RAMANUJAN JOURNAL | 2013年 / 30卷 / 02期

关键词：

Eisenstein series; Hypergeometric function; Legendre function; Weierstrass elliptic function;

D O I：

10.1007/s11139-011-9360-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a class of elliptic functions associated with the hypergeometric function F-2(1)(1/6, 5/6; 1; z). From the perspective of the properties of conformal mappings and differential equations, we provide new insight into a set of identities of Ramanujan associated with the above hypergeometric function.

引用

页码：211 / 222

页数：12

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