18 citations · 28 across the 9 of their papers we have counts for
9 papers
Measures and Optimization for Robustness and Vulnerability in Disconnected Networks
Liwang Zhu, Qi Bao, Zhongzhi Zhang
The function or performance of a network is strongly dependent on its robustness, quantifying the ability of the network to continue functioning under perturbations. While a wide v…
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…
Notes on -partial differential equations for -Laguerre polynomials and little -Jacobi polynomials
Qi Bao, DunKun Yang
We define two common -orthogonal polynomials: homogeneous -Laguerre polynomials and homogeneous little -Jacobi polynomials. They can be viewed separately as solutions to t…
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…
Notes on Generalized Grötzsch Ring Function and Generalized Hersch-Pfluger Distortion Function
Qi Bao, MiaoKun Wang
For , and , let and be the generalized Grötzsch ring function and generalized Hersch-Pfluger distortion function. I…
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 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…
Fast Evaluation for Relevant Quantities of Opinion Dynamics
Wanyue Xu, Qi Bao, Zhongzhi Zhang
One of the main subjects in the field of social networks is to quantify conflict, disagreement, controversy, and polarization, and some quantitative indicators have been developed…