Truncated solutions of the fifth Painlevé equation

Shun Shimomura

研究成果: Article査読

7 被引用数 (Scopus)

抄録

The fifth Painlevé equation admits several families of solutions behaving exponentially in their proper sectors near infinity, which are called truncated solutions. For these truncated solutions, we discuss the frequency of a-points including poles outside the corresponding sectors. Except for some special cases, all the values are equally distributed, and for each a there exist infinitely many a-points.

本文言語English
ページ(範囲)451-471
ページ数21
ジャーナルFunkcialaj Ekvacioj
54
3
DOI
出版ステータスPublished - 2011 11月 30

ASJC Scopus subject areas

  • 分析
  • 代数と数論
  • 幾何学とトポロジー

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