Abstract
We study a class of elliptic functions associated with the hypergeometric function \({_{2}}F_{1}(\frac{1}{6},\frac{5}{6};1;z)\). 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.
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Shen, LC. A note on Ramanujan’s identities involving the hypergeometric function \({_{2}}F_{1}(\frac{1}{6},\frac{5}{6};1;z)\) . Ramanujan J 30, 211–222 (2013). https://doi.org/10.1007/s11139-011-9360-8
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DOI: https://doi.org/10.1007/s11139-011-9360-8