Application of uniform asymptotics to the fifth Painlevé transcendant

Youmin Lu and Zhoude Shao

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 31, 1-7

Abstract:

We apply the uniform asymptotics method to the fifth Painlevé transcendants, find its asymptotics of the form y = − 1 + t − 1 / 2 A ( t ) as t → ∞ along the positive t -axis, and obtain the corresponding monodromy data.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:194725

DOI: 10.1155/S0161171202108222

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