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

2012/10/23 by Wang, Miao-Kun, Chu, Yu-Ming, Jiang, Ye-Ping
#33C05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #G.1.2

paper · doi:10.48550/arxiv.1210.6126

Abstract

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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