A family of solutions of a nonlinear ordinary differential equation and its application to Painlevé equations (III), (V) and (VI)

Shun SHIMOMURA

doi:10.2969/jmsj/03940649

Shun SHIMOMURA

著者情報

ジャーナルフリー

1987 年 39 巻 4 号 p. 649-662

DOI https://doi.org/10.2969/jmsj/03940649

詳細

Published: 1987 Received: 1986/04/10 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) R. Garnier, Étude de l'intégrale général de l'équation VI de M. Painlevé dans le voisinage de ses singularités transcendantes, Ann. Sci. École Norm. Sup., 34 (1917), 239-353.
2) R. Gamier, Contribution à l'étude des solutions de l'équation (V) de Painlevé, J. Math. Pures Appl., 46 (1967), 353-412.
3) H. Kimura, The construction of a general solution of a Hamiltonian system with regular type singularity and its application to Painlevé equations, Ann. Mat. Pura Appl., 134 (1983), 363-392.
4) B. Léauté and G. Marcilhacy, Sur certaines solutions particulières transcendantes des équation d'Einstein, Ann. Inst. H. Poincaré Sect. A, 31 (1979), 363-375.
5) K. Okamoto, Polynomial Hamiltonians associated with Painlevé equations I, Proc. Japan Acad. Ser. A, 56 (1980), 264-268.
6) S. Shimomura, Series expansions of Painlevé transcendents in the neighbourhood of a fixed singular point, Funkcial. Ekvac., 25 (1982), 185-197.
7) S. Shimomura, Supplement to “Series expansions of Painlevé transcendents in the neighbourhood of a fixed singular point”. Funkcial. Ekvac., 25 (1982), 363-371.
8) S. Shimomura, On solutions of the fifth Painlevé equation on the positive real axis I, Funkcial, Ekvac., 28 (1985), 341-370.
9) K. Takano, Reduction for Painlevé equations at the fixed singular points of the first kind, Funkcial. Ekvac., 29 (1986), 99-119.

Right : [1] R. Garnier, Étude de l'intégrale général de l'équation VI de M. Painlevé dans le voisinage de ses singularités transcendantes, Ann. Sci. École Norm. Sup., 34 (1917), 239-353.
[2] R. Garnier, Contribution à l'étude des solutions de l'équation (V) de Painlevé, J. Math. Pures Appl., 46 (1967), 353-412.
[3] H. Kimura, The construction of a general solution of a Hamiltonian system with regular type singularity and its application to Painlevé equations, Ann. Mat. Pura Appl., 134 (1983), 363-392.
[4] B. Léauté and G. Marcilhacy, Sur certaines solutions particulières transcendantes des équation d'Einstein, Ann. Inst. H. Poincaré Sect. A, 31 (1979), 363-375.
[5] K. Okamoto, Polynomial Hamiltonians associated with Painlevé equations I, Proc. Japan Acad. Ser. A, 56 (1980), 264-268.
[6] S. Shimomura, Series expansions of Painlevé transcendents in the neighbourhood of a fixed singular point, Funkcial. Ekvac., 25 (1982), 185-197.
[7] S. Shimomura, Supplement to “Series expansions of Painlevé transcendents in the neighbourhood of a fixed singular point”, Funkcial. Ekvac., 25 (1982), 363-371.
[8] S. Shimomura, On solutions of the fifth Painlevé equation on the positive real axis I, Funkcial. Ekvac., 28 (1985), 341-370.
[9] K. Takano, Reduction for Painlevé equations at the fixed singular points of the first kind, Funkcial. Ekvac., 29 (1986), 99-119.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

責任著者(Corresponding author)

訂正情報

J-STAGEへの登録はこちら（無料）