MR2351213 Kazuo KANEKO and Yousuke OHYAMA Kazuo KANEKO and Yousuke OHYAMA Fifth Painlevé Transcendents Which are Analytic at the Origin Funkcialaj Ekvacioj. Serio Internacia 50 2007 187--212 http://fe.math.kobe-u.ac.jp/FE/FullPapers/50-2/50_187.pdf http://www.ams.org/mathscinet-getitem?mr=MR2351213 We study special solutions of the fifth Painlevé equation which are analytic around $t=0$. We calculate in particular the linear monodromy of those solutions exactly. We also show how those solutions are related to classical solutions in the sense of Umemura. Painlevé equation, Monodromy data. Primary 34M55; Secondary 33C15. 50-187 2007 Fifth Painlevé Transcendents Which are Analytic at the Origin Kazuo KANEKO and Yousuke OHYAMA Kazuo KANEKO and Yousuke OHYAMA
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