Application of uniform asymptotics to the fifth Painlevé transcendant
Youmin Lu1and Zhoude Shao2
Received30 Aug 2001
Abstract
We apply the uniform asymptotics method to the fifth Painlevé transcendants, find its asymptotics of the form y=−1+t−1/2A(t) as t→∞ along the positive t-axis, and obtain the corresponding monodromy data.