論文

査読有り
2013年6月

Meromorphic Painlevé transcendents at a fixed singularity

Mathematische Nachrichten
  • Kazuo Kaneko
  • ,
  • Yousuke Ohyama

286
8-9
開始ページ
861
終了ページ
875
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1002/mana.200810241

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. © 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

リンク情報
DOI
https://doi.org/10.1002/mana.200810241
URL
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84878461621&origin=inward
ID情報
  • DOI : 10.1002/mana.200810241
  • ISSN : 0025-584X
  • ISSN : 1522-2616
  • SCOPUS ID : 84878461621

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