### 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 |

Publication status | Published - 2001 |

### Keywords

- Equations
- Growth order
- Painlevé

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Proceedings of the Japan Academy Series A: Mathematical Sciences*,

*77*(3), 42-45.

**The first, the second and the fourth Painlevé transcendents are of finite order S.** / Shimomura, Hun.

Research output: Contribution to journal › Article

*Proceedings of the Japan Academy Series A: Mathematical Sciences*, vol. 77, no. 3, pp. 42-45.

}

TY - JOUR

T1 - The first, the second and the fourth Painlevé transcendents are of finite order S

AU - Shimomura, Hun

PY - 2001

Y1 - 2001

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=23044526603&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23044526603&partnerID=8YFLogxK

M3 - Article

VL - 77

SP - 42

EP - 45

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

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

SN - 0386-2194

IS - 3

ER -