On particular solutions of the garnier systems and the hypergeometric functions of several variables

Quarterly Journal of Mathematics

Volumn 37, Issue 1, 1986, Pages 61-80

  Okamoto, Kazuo ^a   Kimura, Hironobu ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002611395     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qmath/37.1.61     Document Type: Article

References (9)

1. P. Appell and Kampe de Feriet, Fonction hypergiomitrique et hypcrsphiriqu.es, Polyndmes d’Hermite, Gauthier-Villars, (1926).
2. E. Erdelyi, Higher transcendental functions, McGraw-Hill, (1953), vol. 1.
3. R. Gamier, ‘Solution du probleme de Riemann pour les systemes difterentielles lindairesdu second ordre’, Ann. Sci. Ecole Norm. Sup. 43 (1926), 239-352.
4. R. Gamier, ‘Sur des dquations differentielles du troisidme ordre dont l’intdgralegdndrale est uniforme et sur une classe d’dquations nouvelles d’ordre supdrieur dontl’intdgrale gdndrale a ses points critiques fixes’, Ann. Sci. Ecole Norm. Sup. 29 (1912),1-126.
5. M. Jimbo, T. Miwa and K. Ueno, ‘Monodromy preserving deformation of linearordinary differential equations with rational coefficients’, I, Physica 2D, (1981), 306-352.
6. H. Kimura, K. Okamoto, ‘On the polynomial Hamiltonian structure of the Gamiersystem’, J. Math. Pures et Appl. (1984), 129-146.
7. H. Kimura, ‘The degeneration of the two dimensional Gamier system and thepolynomial Hamiltonian structure’, (submaitted).
8. K. Okamoto, ‘Isomonodromic, deformation and Painlevd equation and the Gamiersystem’, IRMA. Strasbourg preprint.
9. K. Okamoto, ‘Studies on the Painlevd equations’ (preprint).