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

Hun Shimomura

doi:10.3792/pjaa.77.42

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

Hun Shimomura

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	42-45
Number of pages	4
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	77
Issue number	3
DOIs	https://doi.org/10.3792/pjaa.77.42
Publication status	Published - 2001
Externally published	Yes

Keywords

Equations
Growth order
Painlevé

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.77.42

Cite this

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title = "The first, the second and the fourth Painlev{\'e} transcendents are of finite order S",

abstract = "We show that every solution of the first Painlev{\'e} equation has the finite growth order. The second and the fourth Painlev{\'e} equations have the same property.",

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author = "Hun Shimomura",

year = "2001",

doi = "10.3792/pjaa.77.42",

language = "English",

volume = "77",

pages = "42--45",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

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PY - 2001

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AB - 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.

KW - Equations

KW - Growth order

KW - Painlevé

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JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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