Logarithmic solutions of the fifth painlevé equation near the origin

Shun Shimomura

研究成果: Article

3 引用 (Scopus)

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
ページ(範囲)797-825
ページ数29
ジャーナルTokyo Journal of Mathematics
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