HYPERGEOMETRIC SOLUTION OF A CERTAIN POLYNOMIAL HAMILTONIAN SYSTEM OF ISOMONODROMY TYPE

DOI10.1093/qmath/haq040zbMath1287.37048arXiv1005.4130OpenAlexW2962885832MaRDI QIDQ2890811

Teruhisa Tsuda

Publication date: 12 June 2012

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.4130

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Variational methods for higher-order elliptic equations (35J35)

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Six-dimensional Painlevé systems and their particular solutions in terms of rigid systems ⋮ On a fundamental system of solutions of a certain hypergeometric equation ⋮ Hermite-Padé approximation, isomonodromic deformation and hypergeometric integral ⋮ On solutions of the Fuji-Suzuki-Tsuda system ⋮ A Higher Order Painlevé System in Two Variables and Extensions of the Appell Hypergeometric Functions <i>F</i>₁, <i>F</i>₂ and <i>F</i>₃ ⋮ Connection problem for an extension of \(q\)-hypergeometric systems

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