Determinant formulas for the τ-functions of the Painlevé equations of type A

Nagoya Mathematical Journal

Volumn 156, Issue , 1999, Pages 123-134

  Yamada, Yasuhiko ^a  

^a KOBE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012265172     PISSN: 00277630     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0027763000007091     Document Type: Article

References (8)

1. Masatoshi Noumi and Yasuhiko Yamada, Affine Weyl groups, Discrete Dynamical Systems and Painlevé equations, Commun. Math. Phys., 199 (1998), 281-295.
2. l, Funkcialaj Ekvacioj, 41 (1998), 483-503.
3. Mikio Sato and Yasuko Sato, Soliton Equations as Dynamical Systems on Infinite dimensional Grassmann Manifolds, Lecture Notes in Num. and Appl. Anal., 5, 259-271,1981.
4. I.G. Macdonald, Symmetric functions and Hall polynomials 2nd ed., 1995.
5. Masatoshi Noumi and Yasuhiko Yamada, Symmetries in the forth Painlevé equations and Okamoto polynomials, Nagoya Math. J., 153 (1999), 53-86.
6. _, Umemura polynomials for Painlevé V equation, Physics Letters, A247 (1998), 65-69.
7. Hiroshi Umemura, Special polynomials associated with the Painlevé equations I, to appear in the proceedings of the Workshop on "Painlevé Transcendents", CRM, Montreal, Canada, 1996.
8. M. Noumi, S. Okada, K. Okamoto and H. Umemura, Special polynomials associated with the Painlevé equations II", in Proceedings of the Taniguchi Symposium 1997: "Integrable Systems and Algebraic Geometry" (eds. M.-H. Saito, Y. Shimizu, K. Ueno), 349-372, World Scientific, 1998.