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Matematicheskie Zametki, 2010, Volume 88, Issue 6, Pages 845–858
DOI: https://doi.org/10.4213/mzm8915 (Mi mzm8915) 		 
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
Full-text PDF (556 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm8915
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
English version:
Mathematical Notes, 2010, Volume 88, Issue 6, Pages 806–818
DOI: https://doi.org/10.1134/S0001434610110210
Bibliographic databases:
Document Type: Article
UDC: 517.91
Language: Russian
Citation: R. R. Gontsov, “On Movable Singularities of Garnier Systems”, Mat. Zametki, 88:6 (2010), 845–858; Math. Notes, 88:6 (2010), 806–818
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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