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arXiv · 1501.00337

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

Zhao-Yun Zeng·Yu-Qiu Zhao
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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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Zhao-Yun Zeng, Yu-Qiu Zhao. 2015-01-02. Application of uniform asymptotics to the connection formulas of the fifth Painlev\'{e} equation. https://arxiv.org/abs/1501.00337

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