The first, the second and the fourth Painlevé transcendents are of finite order S

Hun Shimomura

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


We show that every solution of the first Painlevé equation has the finite growth order. The second and the fourth Painlevé equations have the same property.

Original languageEnglish
Pages (from-to)42-45
Number of pages4
JournalProceedings of the Japan Academy Series A: Mathematical Sciences
Issue number3
Publication statusPublished - 2001
Externally publishedYes


  • Equations
  • Growth order
  • Painlevé

ASJC Scopus subject areas

  • General Mathematics

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