Application of uniform asymptotics to the connection formulas of the fifth Painlevé equation (1501.00337v1)

Published 2 Jan 2015 in math.CA

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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