Application of uniform asymptotics to the connection formulas of the fifth Painlev\'e equation

Abstract

We apply the uniform asymptotics method proposed by Bassom, Clarkson, Law and McLeod to a special Painlev\'e 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.

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