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- W2000618609 abstract "In our previous work, a unified description as polynomial Hamiltonian systems was established for a broad class of the Schlesinger systems including the sixth Painleve equation and Garnier systems. The main purpose of this paper is to present particular solutions of this Hamiltonian system in terms of a certain generalization of Gauss' hypergeometric function. Key ingredients of the argument are the linear Pfaffian system derived from an integral representation of the hypergeometric function (with the aid of twisted de Rham theory) and Lax formalism of the Hamiltonian system." @default.
- W2000618609 created "2016-06-24" @default.
- W2000618609 creator A5057096025 @default.
- W2000618609 date "2010-05-22" @default.
- W2000618609 modified "2023-09-27" @default.
- W2000618609 title "Hypergeometric solution of a certain polynomial Hamiltonian system of isomonodromy type" @default.
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- W2000618609 doi "https://doi.org/10.48550/arxiv.1005.4130" @default.
- W2000618609 hasPublicationYear "2010" @default.
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