2 citations · 3 across the 6 of their papers we have counts for
6 papers
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…
On a Conjecture Concerning the Approximates of Complete Elliptic Integral of the First Kind by Inverse Hyperbolic Tangent
Song-Liang Qiu, Qi Bao, Xiao-Yan Ma +1
Let $\K$ be the complete elliptic integral of the first kind. In this paper, the authors prove that the function $r\mapsto r^{-2}\{[\log(2\K(r)/π)]/\log((\arth r)/r)-3/4\}$ is stri…
Sharp Approximations for the Ramanujan Constant
Song-Liang Qiu, Xiao-Yan Ma, Ti-Ren Huang
In this paper, the authors present sharp approximations in terms of sine function and polynomials for the so-called Ramanujan constant (or the Ramanujan -function) , by sh…
Sharp Estimates of the Generalized Euler-Mascheroni Constant
Ti-Ren Huang, Bo-Wen Han, You-Ling Liu +1
Let , be the Generalized Euler-Mascheroni Constant, and let \begin{align*} &x_n=\frac1a+\frac{1}{a+1}+\cdots+\frac{1}{a+n-1}-\ln\frac{a+n}{a},\\ &y_n=\frac…
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 and on for $δ\in(…
Sharp two parameter bounds for logarithmic and arithmetic-geometric means
Yu-Ming Chu, Ye-Fang Qiu, Miao-Kun Wang +1
For fixed and we prove that the inequalities and $G^{s}(t_{2}a+(1-t_{2})b,t_{2}b+…