论文标题
$ f(\ frac {1} {6},\ frac {5} {6} {6}; \ frac {1} {2} {2}; \ bulter)
Nonelliptic functions from $F(\frac{1}{6}, \frac{5}{6} ; \frac{1}{2} ; \bullet)$
论文作者
论文摘要
As contributions to the Ramanujan theory of elliptic functions to alternative bases, Li-Chien Shen has developed families of elliptic functions from the hypergeometric functions $F(\tfrac{1}{3}, \tfrac{2}{3}; \tfrac{1}{2} ; \bullet)$ and $ f(\ tfrac {1} {4},\ tfrac {3} {4}; \ tfrac {1} {2} {2}; \ bulter)$。我们将他的方法应用于超几何函数$ f(\ tfrac {1} {6},\ tfrac {5} {6} {6}; \ tfrac {1} {2} {2}; \ bullet)$。
As contributions to the Ramanujan theory of elliptic functions to alternative bases, Li-Chien Shen has developed families of elliptic functions from the hypergeometric functions $F(\tfrac{1}{3}, \tfrac{2}{3}; \tfrac{1}{2} ; \bullet)$ and $F(\tfrac{1}{4}, \tfrac{3}{4}; \tfrac{1}{2} ; \bullet)$. We apply his methods to the hypergeometric function $F(\tfrac{1}{6}, \tfrac{5}{6}; \tfrac{1}{2} ; \bullet)$.