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Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\) - MaRDI portal

Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\) (Q1098980)

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scientific article; zbMATH DE number 4038257
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Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\)
scientific article; zbMATH DE number 4038257

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    Studies of the Painlevé equations. I: Sixth Painlevé equation \(P_{VI}\) (English)
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    1987
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    The author studies birational canonical transformations of the Hamiltonian system \({\mathfrak H}\) associated with the sixth Painlevé equation. Solutions of \({\mathfrak H}\), which can be written by use of hypergeometric functions are studied in details.
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    birational canonical transformations
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    Hamiltonian system
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    hypergeometric functions
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