8 citations · 10 across the 5 of their papers we have counts for
4 papers · 1 filter
Two -operational equations and Hahn polynomials
Jing Gu, DunKun Yang, Qi Bao
Motivated by Liu's recent work in \cite{Liu2022}. We shall reveal the essential feature of Hahn polynomials by presenting two new -exponential operators. These lead us to use a…
A Generalization of q-Binomial Theorem
Qi Bao
By using Liu's -partial differential equations theory, we prove that if an analytic function in several variables satisfies a system of -partial differential equations, if an…
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…
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…