### 抜粋

For the fifth Painlevé equation near the origin we present two kinds of logarithmic solutions, which are represented, respectively, by convergent series with multipliers admitting asymptotic expansions in descending logarithmic powers and by those with multipliers polynomial in logarithmic powers. It is conjectured that the asymptotic multipliers are also polynomials in logarithmic powers. These solutions are constructed by iteration on certain rings of exponential type series.

元の言語 | English |
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ページ（範囲） | 797-825 |

ページ数 | 29 |

ジャーナル | Tokyo Journal of Mathematics |

巻 | 39 |

発行部数 | 3 |

出版物ステータス | Published - 2017 3 1 |

### ASJC Scopus subject areas

- Mathematics(all)

## フィンガープリント Logarithmic solutions of the fifth painlevé equation near the origin' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

Shimomura, S. (2017). Logarithmic solutions of the fifth painlevé equation near the origin.

*Tokyo Journal of Mathematics*,*39*(3), 797-825.