7 citations · 14 across the 6 of their papers we have counts for
6 papers
Asymptotic approximations of the continuous Hahn polynomials and their zeros
Li-Hua Cao, Yu-Tian Li, Yu Lin
Asymptotic approximations for the continuous Hahn polynomials and their zeros as the degree grows to infinity are established via their three-term recurrence relation. The methods…
Asymptotics of the Charlier polynomials via difference equation methods
Xiao-Min Huang, Yu Lin, Yu-Qiu Zhao
We derive uniform and non-uniform asymptotics of the Charlier polynomials by using difference equation methods alone. The Charlier polynomials are special in that they do not fit i…
Weights with both absolutely continuous and discrete components: Asymptotics via the Riemann-Hilbert approach
Xiao-Bo Wu, Yu Lin, Shuai-Xia Xu +1
We study the uniform asymptotics for the orthogonal polynomials with respect to weights composed of both absolutely continuous measure and discrete measure, by taking a special cla…
Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point
Xiao-Bo Wu, Yu Lin, Shuai-Xia Xu +1
In this paper, we develop the Riemann-Hilbert method to study the asymptotics of discrete orthogonal polynomials on infinite nodes with an accumulation point. To illustrate our met…
Existence and Uniqueness of Tronquée Solutions of the Third and Fourth Painlevé Equations
Yu Lin, Dan Dai, Pieter Tibboel
It is well-known that the first and second Painlevé equations admit solutions characterised by divergent asymptotic expansions near infinity in specified sectors of the complex pla…
Global Asymptotics of the Discrete Chebyshev Polynomials
Y. Lin, R. Wong
In this paper, we study the asymptotics of the discrete Chebyshev polynomials tn (z, N) as the degree grows to infinity. Global asymptotic formulas are obtained as n \rightarrow \i…