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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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  • https://www.mathnet.ru/eng/mzm8915
  • https://doi.org/10.4213/mzm8915
  • https://www.mathnet.ru/eng/mzm/v88/i6/p845
    • This publication is cited in the following 3 articles:
    1. Dragovic V., Gontsov R., Shramchenko V., “Triangular Schlesinger Systems and Superelliptic Curves”, Physica D, 424 (2021), 132947  crossref  mathscinet  isi
    2. S. I. Bezrodnykh, “Jacobi-Type Differential Relations for the Lauricella Function $F_D^{(N)}$”, Math. Notes, 99:6 (2016), 821–833  mathnet  crossref  crossref  mathscinet  isi  elib
    3. Leksin V.P., “Isomonodromy deformations and hypergeometric-type systems”, Painleve Equations and Related Topics (2012), Degruyter Proceedings in Mathematics, eds. Bruno A., Batkhin A., Walter de Gruyter & Co, 2012, 117–122  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:65
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