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This article is cited in 3 scientific papers (total in 3 papers)
On Movable Singularities of Garnier Systems
R. R. Gontsov A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Abstract:
We study movable singularities of Garnier systems by using an approach based on the relationship between these systems and Schlesinger isomonodromic deformations of Fuchsian systems, as well as Lauricella hypergeometric equations.
Keywords:
Garnier system, movable singularity, Fuchsian system, Schlesinger isomonodromic deformation, Lauricella hypergeometric equation, Painlevé equation, meromorphic function, Malgrange $\Theta$-divisor.
Received: 09.12.2009
Citation:
R. R. Gontsov, “On Movable Singularities of Garnier Systems”, Mat. Zametki, 88:6 (2010), 845–858; Math. Notes, 88:6 (2010), 806–818
Linking options:
https://www.mathnet.ru/eng/mzm8915https://doi.org/10.4213/mzm8915 https://www.mathnet.ru/eng/mzm/v88/i6/p845
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Abstract page: | 460 | Full-text PDF : | 190 | References: | 57 | First page: | 10 |
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