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 parame…