8 citations · 10 across the 8 of their papers we have counts for
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math.CA2021
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…
math.CA2021
Sharp double inequality for complete elliptic integral of the first kind
Qi Bao
For , the function $\K(r)=\int_0^{π/2}(1-r^2\sin^2t)^{-1/2}dt$ is known as the complete elliptic integral of the first kind. In this paper, we prove the absolute monoton…
math.CA2021★ 2 cited
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…