Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions

preprint2012arXivOpen access

In this paper, a generalization of Ramanujan's cubic transformation, in the form of an inequality, is proved for zero-balanced Gaussian hypergeometric function $F(a,b;a+b;x)$ , $a,b>0$ .

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Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions

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