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

作者：Shen Li Chien^*

来源：Ramanujan Journal, 2013, 30(2): 211-222.

DOI：10.1007/s11139-011-9360-8

• Eisenstein series
• Hypergeometric function
• Legendre function
• Weierstrass elliptic function

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.

• 出版日期2013-2