Application of uniform asymptotics to the connection formulas of the fifth Painlevé equation
arXiv:1501.00337
Abstract
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 connection formulas for a special solution of the equation, which have been established earlier by McCoy and Tang via the isomonodromy and WKB methods.
18 pages