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
收藏
页码：211 / 222
页数：12
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