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Zbl 0637.34019
Okamoto, Kazuo
Studies of the Painlevé equations. I: Sixth Painlevé equation $P\sb{VI}$. (English)
[J] Ann. Mat. Pura Appl., IV. Ser. 146, 337-381 (1987). ISSN 0373-3114; ISSN 1618-1891/e

The author studies birational canonical transformations of the Hamiltonian system ${\frak H}$ associated with the sixth Painlevé equation. Solutions of ${\frak H}$, which can be written by use of hypergeometric functions are studied in details.
[P.Bolley]

MSC 2000:: *34B30 Special ODE

Keywords: birational canonical transformations; Hamiltonian system; hypergeometric functions

Cited in: Zbl 1131.34061 Zbl 0916.14024 Zbl 0859.39006 Zbl 0694.34005

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