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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 243, Pages 19–29 (Mi znsl493)  
This article is cited in 7 scientific papers (total in 7 papers)

On connection formulas for asymptotics of some special solutions of the fifth Painlevé equation

F. V. Andreev, A. V. Kitaev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (190 kB) Citations (7)
Abstract: Asymptotical expansions of some special solutions of the fifth Painlevé equation as $x\to 0$ and $x\to+\infty$ as well as the corresponding connection formulas are obtained. An example of application of the obtained formulas to the third Painlevé equation is given.
Received: 10.09.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 1, Pages 808–815
DOI: https://doi.org/10.1007/BF02673590
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: F. V. Andreev, A. V. Kitaev, “On connection formulas for asymptotics of some special solutions of the fifth Painlevé equation”, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Zap. Nauchn. Sem. POMI, 243, POMI, St. Petersburg, 1997, 19–29; J. Math. Sci. (New York), 99:1 (2000), 808–815
Citation in format AMSBIB
\Bibitem{AndKit97}
\by F.~V.~Andreev, A.~V.~Kitaev
\paper On connection formulas for asymptotics of some special solutions of the fifth Painlev\'e equation
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 243
\pages 19--29
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl493}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1629924}
\zmath{https://zbmath.org/?q=an:0905.34007}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 1
\pages 808--815
\crossref{https://doi.org/10.1007/BF02673590}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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