6 citations · 15 across the 9 of their papers we have counts for
9 papers
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…
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,…
Ramanujan's cubic transformation and generalized modular equation
Miaokun Wang, Yuming Chu, Yueping Jiang
We study the quotient of hypergeometric functions \begin{equation*} μ_{a}^*(r)=\fracπ{2\sin{(πa)}}\frac{F(a,1-a;1;1-r^3)}{F(a,1-a;1;r^3)} \quad (r\in(0,1)) \end{equation*} in the t…
Inequalities for generalized trigonometric and hyperbolic sine functions
Miao-Kun Wang, Yu-Ming Chu, Yue-Ping Jiang
We prove that the inequalities and hold for…
Ramanujan's cubic transformation inequalities for zero-balanced hypergeometric functions
Miao-Kun Wang, Yu-Ming Chu, Ye-Ping Jiang
In this paper, a generalization of Ramanujan's cubic transformation, in the form of an inequality, is proved for zero-balanced Gaussian hypergeometric function , $a,b…
Sharp inequalities for the Neuman-Sandor mean in terms of arithmetic and contra-harmonic means
Miao-Kun Wang, Yu-Ming Chu, Bao-Yu Liu
In this paper, we find the greatest values and , and the least values and such that the double inequalities and…