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  • 标题:On the asymptotic representation of the solutions to the fourth general Painlevé equation
  • 本地全文:下载
  • 作者:Youmin Lu
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2003
  • 卷号:2003
  • 期号:13
  • 页码:845-851
  • DOI:10.1155/S0161171203206220
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    There have been many results on the asymptotics of the Painlevé transcendents in recent years, but the asymptotics of the fourth Painlevé transcendent has not been studied much. In this note, we study the general fourth Painlevé equation and develop an asymptotic representation of a group of its solutions as the independent variable approaches infinity along a straight line.

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