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
1
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