A Review of the Sixth Painlevé Equation

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• 作者：Davide Guzzetti
• 关键词：Painlevé equations ; Isomonodromy deformations ; Asymptotic analysis ; 34M55 ; 34M35 ; 34M40
• 刊名：Constructive Approximation
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：41
• 期：3
• 页码：495-527
• 全文大小：983 KB
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• 作者单位：Davide Guzzetti (1)
  
  1. SISSA, Intenational School of Advanced Studies, 34136?, Trieste, Italy
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Numerical Analysis
  Analysis
  
• 出版者：Springer New York
• ISSN：1432-0940

文摘

For the Painlevé VI transcendents, we provide a unitary description of the critical behaviours, the connection formulae, their complete tabulation, and the asymptotic distribution of poles close to a critical point.