Wen-Gao Long, Zhao-Yun Zeng, Jian-Rong Zhou
Published 2016-01-05Version 1
As a new application of the method of "uniform asymptotics" proposed by Bassom, Clarkson, Law and McLeod, we provide a simpler and more rigorous proof of the connection formulas of some special solutions of the fifth Painlev\'e equation, which have been established earlier by Andreev and Kitaev.
Application of uniform asymptotics to the connection formulas of the fifth Painlevé equation
Connection problem for an extension of $q$-hypergeometric systems
Connection problem of the first Painlevé transcendent between poles and negative infinity
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