Higher order Painlevé equations of type {$A\sp {(1)}\sb l$}

MR1676885 Noumi, Masatoshi and Yamada, Yasuhiko Masatoshi NOUMI and Yasuhiko YAMADA Higher order Painlevé equations of type {$A\sp {(1)}\sb l$} Funkcialaj Ekvacioj. Serio Internacia 41 1998 483--503 http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol41/fe41-3-8.pdf http://fe.math.kobe-u.ac.jp/FE/FE_pdf_with_bookmark/FE41-45-en_KML/fe41-483-503/fe41-483-503.pdf http://www.ams.org/mathscinet-getitem?mr=MR1676885 fe41-483-503 1998 Higher Order Painlevé Equations of Type $A_l^{(1)}$ NOUMI, Masatoshi; YAMADA, Yasuhiko NOUMI, Masatoshi; YAMADA, Yasuhiko 1 Bourbaki, N. Éléments de Mathématique, Groupes et Algèbres de Lie, Chapitres 4, 5 et 6 Masson, Paris 1981 MR0643362 100 Cache/Bo/Bourbaki,*,*,1981,1982 vii+422 2 Kac, V. G. Infinite-dimensional Lie algebras Third edition, Cambridge University Press 1990 MR1104219 xxii+400

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4 Noumi, M.; Okada, S.; Okamoto, K.; Umemura, H., Special polynomials associated with the Painlevé equations II, to appear in the Proceedings of the Taniguchi Symposium "Integrable Systems and Algebraic Geometry", RIMS, Kyoto University, Japan, 1997 MR1672065 5 Noumi, M.; Okamoto, K. Irreducibility of the second and the fourth Painlevé equations Funkcial. Ekvac. 40 1997 139-163 MR1454468 1454468 100 Cache/No/Noumi,Irreducibility,Funkcial*,1997,1998 6 Noumi, M.; Yamada, Y., Symmetries in the fourth Painlevé equation and Okamoto polynomials, to appear in Nagoya Math. J. MR1684551 7 Noumi, M.; Yamada, Y., Umemura polynomials for Painlevé V equation, to appear in Phys. Lett. A MR1650509 8 Noumi, M.; Yamada, Y., Affine Weyl groups, discrete dynamical systems and Painlevé equations, to appear in Comm. Math. Phys. MR1666847 9 Noumi, M.; Yamada, Y., Symmetric forms of the Painlevé equations, in preparation

10 Okamoto, K. Studies on the Painlevé equations, I Ann. Math. Pura Appl. 146 1987 337-381 MR0916698 Cache/Ok/Okamoto,I,II,III,IV,Ann*,null,null

10 Okamoto, K. Studies on the Painlevé equations, II Jap. J. Math. 13 1987 47-76 MR0914314 Cache/Ok/Okamoto,I,II,III,IV,Ann*,null,null

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11 Umemura, H. On the irreducibility of the first differential equation of Painlevé in "Algebraic Geometry and Commutative Algebra in honor of Masayoshi Nagata", Kinokuniya-North-Holland 1988 771-789 MR0977782

12 Umemura, H., Special polynomials associated with the Painlevé equations I, to appear in Proceedings of the Workshop on "Painlevé Transcendents", CRM, Montreal, Canada, 1996