53 citations · 108 across the 26 of their papers we have counts for
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math.CA2015
Hankel determinants for a singular complex weight and the first and third Painlevé transcendents
Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao
In this paper, we consider polynomials orthogonal with respect to a varying perturbed Laguerre weight for and on certain contours in the complex pl…
math.CA2015
Proof of a conjecture of Granath on optimal bounds of the Landau constants
Chun-Ru Zhao, Wen-Gao Long, Yu-Qiu Zhao
We study the asymptotic expansion for the Landau constants , \begin{equation*} πG_{n}\sim \ln(16N)+γ+\sum^{\infty}_{k=1}\frac{α_k}{N^k} ~~\mbox{as} ~ n\rightarrow\infty, \end{…
math.CA2015★ 2 cited
Application of uniform asymptotics to the connection formulas of the fifth Painlevé equation
Zhao-Yun Zeng, Yu-Qiu Zhao
We apply the uniform asymptotics method proposed by Bassom, Clarkson, Law and McLeod to a special Painlevé V equation, and we provide a simpler and more rigorous proof of the conne…