论文标题
超几何积分的椭圆函数
Elliptic functions from hypergeometric integrals
论文作者
论文摘要
作为对Ramanujan椭圆函数对替代基础的贡献，Li-Chien Shen展示了如何从三分和四个签名中的不完整的超测定积分来得出的雅各布椭圆函数的类似物。我们准确地确定了雅各布类似物或它们的正方形的签名。
As a contribution to the Ramanujan theory of elliptic functions to alternative bases, Li-Chien Shen has shown how analogues of the Jacobian elliptic functions may be derived from incomplete hypergeometric integrals in signatures three and four. We determine precisely the signatures in which the Jacobian analogues or their squares are indeed elliptic.
