9 citations · 12 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…
Monotonicity Properties of Gaussian Hypergeometric Functions with Respect to the Parameter
Qi Bao, Miao-Kun Wang, AND Song-Liang Qiu
The authors establish the necessary and sufficient conditions under which certain combinations of Gaussian hypergeometric function and elementary function are monotone in the param…
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 bounds for generalized elliptic integrals of the first kind
Wang Miao-Kun, Chu Yu-Ming, Qiu Song-Liang
In this paper, we prove that the double inequality \begin{equation*} 1+αr'^2<\frac{\mathcal{K}_{a}(r)}{\sin(πa)\log(e^{R(a)/2}/r')}<1+βr'^2 \end{equation*} holds for all $a\in (0,…
Modular Equations and Distortion Functions
G. D. Anderson, S. -L. Qiu, M. Vuorinen
Modular equations occur in number theory, but it is less known that such equations also occur in the study of deformation properties of quasiconformal mappings. The authors study t…