Title: Meromorphic Painlevé transcendents at a fixed singularity
Abstract: Abstract We classify solutions of the third Painlevé equation \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$P^{\prime }_{\rm III}$\end{document} , which are meromorphic around the origin, and determine their linear monodromy. Combined with 4 , 5 , all of meromorphic solutions of the Painlevé equations around fixed singular points of the Briot‐Bouquet type are completely determined. We characterize the linear monodromy of meromorphic solutions for the third, fifth and sixth Painlevé equations.
Publication Year: 2013
Publication Date: 2013-04-18
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 7
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