4 citations · 7 across the 5 of their papers we have counts for
6 papers
Classification of the real Painlevé I transcendents by zeros and connection problem: an asymptotic study
Yan Huang, Yu-Tian Li, Wen-Gao Long
In this paper, we study the asymptotic behavior and connection problem of Painlevé I (PI) equation through a detailed analysis of the Stokes multipliers associated with its solutio…
Full Asymptotic Expansion of Monodromy Data for the First Painlevé Transcendent: Applications to Connection Problems
Wen-Gao Long, Yun-Jiang Jiang, Yu-Tian Li
We study the full asymptotic expansion of the monodromy data ({\it i.e.}, Stokes multipliers) for the first Painlevé transcendent (PI) with large initial data or large pole paramet…
Connection problem of the first Painlevé transcendents with large initial data
Wen-Gao Long, Yu-Tian Li
In previous work, Bender and Komijani (2015 \textit{J. Phys. A: Math. Theor.} 48, 475202) studied the first Painlevé (PI) equation and showed that the sequence of initial condition…
Connection problem of the first Painlevé transcendent between poles and negative infinity
Wen-Gao Long, Yu-Tian Li, Qing-hai Wang
We consider a connection problem of the first Painlevé equation (), trying to connect the local behavior (Laurent series) near poles and the asymptotic behavior as th…
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…
Real solutions of the first Painlevé equation with large initial data
Wen-Gao Long, Yu-Tian Li, Sai-Yu Liu +1
We consider three special cases of the initial value problem of the first Painlevé equation (PI). Our approach is based on the method of uniform asymptotics introduced by Bassom, C…