Xiao-Yan Ma

collaborators

2 papers

math.CA2024

Turán-Type Inequalities for Gaussian Hypergeometric Functions, and Baricz's Conjecture

Song-Liang Qiu, Xiao-Yan Ma, Xue-Yan Xiang

In 2007, Á. Baricz put forward a conjecture concerning Turán-type inequalities for Gaussian hypergeometric functions (see Conjecture \ref{ConjA} in Section \ref{Sec1}). In this pap…

math.CA2016

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 $F (a - 1 - δ, b + δ; a + b; 1 - x^{d})$ on $(0, 1)$ for $δ\in(…