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Algebra i Analiz, 2002, Volume 14, Issue 3, Pages 121–139 (Mi aa853)  

This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

Special functions of the isomonodromy type, rational transformations of spectral parameter, and algebraic solutions of the sixth Painlevé equation

A. V. Kitaevab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b University of Adelaide, Department of Pure Mathematics, Adelaide, Australia
Received: 20.05.2000
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Kitaev, “Special functions of the isomonodromy type, rational transformations of spectral parameter, and algebraic solutions of the sixth Painlevé equation”, Algebra i Analiz, 14:3 (2002), 121–139; St. Petersburg Math. J., 200:3 (2003), 453–465
Citation in format AMSBIB
\Bibitem{Kit02}
\by A.~V.~Kitaev
\paper Special functions of the isomonodromy type, rational transformations of spectral parameter, and algebraic solutions of the sixth Painlev\'e equation
\jour Algebra i Analiz
\yr 2002
\vol 14
\issue 3
\pages 121--139
\mathnet{http://mi.mathnet.ru/aa853}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1921990}
\zmath{https://zbmath.org/?q=an:1044.34052}
\transl
\jour St. Petersburg Math. J.
\yr 2003
\vol 200
\issue 3
\pages 453--465
Linking options:
  • https://www.mathnet.ru/eng/aa853
  • https://www.mathnet.ru/eng/aa/v14/i3/p121
  • This publication is cited in the following 10 articles:
    1. Diarra K., Loray F., “Classification of Algebraic Solutions of Irregular Garnier Systems”, Compos. Math., 156:5 (2020), 881–907  crossref  mathscinet  isi  scopus
    2. R. Vidunas, A. V. Kitaev, “Schlesinger transformations for algebraic Painlevé VI solutions”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 26, Zap. nauchn. sem. POMI, 487, POMI, SPb., 2019, 106–139  mathnet
    3. Conte R., Grundland A.M., “Reductions of Gauss–Codazzi Equations”, Stud. Appl. Math., 137:3 (2016), 306–327  crossref  mathscinet  zmath  isi  elib  scopus
    4. J. Math. Sci. (N. Y.), 213:5 (2016), 706–722  mathnet  crossref  mathscinet
    5. Vidūnas R., Kitaev A. V., “Computation of highly ramified coverings”, Math. Comp., 78:268 (2009), 2371–2395  crossref  mathscinet  zmath  adsnasa  isi  scopus
    6. Boalch Ph., “Some explicit solutions to the Riemann–Hilbert problem”, Differential Equations and Quantum Groups - ANDREY A. BOLIBRUKH MEMORIAL VOLUME, Irma Lectures in Mathematics and Theoretical Physics, 9, 2007, 85–112  mathscinet  zmath  isi
    7. St. Petersburg Math. J., 17:1 (2006), 169–206  mathnet  crossref  mathscinet  zmath
    8. Conte R., Gandarias M. L., “Symmetry reductions of a particular set of equations of associativity in two-dimensional topological field theory”, J. Phys. A, 38:5 (2005), 1187–1196  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    9. A. V. Kitaev, “Quadratic transformations for the third and fifth Painlevé equations”, J. Math. Sci. (N. Y.), 136:1 (2006), 3586–3595  mathnet  crossref  mathscinet  zmath  elib  elib
    10. Andreev F. V., Kitaev A. V., “Some examples of RS23(3)-transformations of ranks 5 and 6 as the higher order transformations for the hypergeometric function”, Ramanujan J., 7:4 (2003), 455–476  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и анализ St. Petersburg Mathematical Journal
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