Inequalities for Zero-Balanced Gaussian hypergeometric function

Ti-Ren Huang, Xiao-Yan Ma, Xiao-Hui Zhang

In this paper, we consider the monotonicity of certain combinations of the Gaussian hypergeometric functions $F(a-1,b;a+b;1-x^c)$ and $F(a-1-\delta ,b+\delta ;a+b;1-x^d)$ on $(0,1)$ for $δ\in(…