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Preprints of the Keldysh Institute of Applied Mathematics, 2003, 048, 36 pp. (Mi ipmp921)  

This article is cited in 1 scientific paper (total in 1 paper)

Power series and nonpower asymptotics of solutions to the second Painlevé equation

A. D. Bruno, Yu. V. Zavgorodnyaya
Full-text PDF Citations (1)
Abstract: By means of Power Geometry, shortly presented in § 1, in the generic case we compute all power expansions of solutions to the second Painlevé equation at points $z=0$, $z=\infty$ (§ 2) and $z=z_0\ne0$ (§ 3). Analogously for $a=0$ we compute all power expansions of solutions and of logarithm of solutions (§ 4). We have found new fine properties of some of these expansions.
Document Type: Preprint
Language: Russian
Citation: A. D. Bruno, Yu. V. Zavgorodnyaya, “Power series and nonpower asymptotics of solutions to the second Painlevé equation”, Keldysh Institute preprints, 2003, 048, 36 pp.
Citation in format AMSBIB
\Bibitem{BruZav03}
\by A.~D.~Bruno, Yu.~V.~Zavgorodnyaya
\paper Power series and nonpower asymptotics of solutions to the second Painlev\'e equation
\jour Keldysh Institute preprints
\yr 2003
\papernumber 048
\totalpages 36
\mathnet{http://mi.mathnet.ru/ipmp921}
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  • https://www.mathnet.ru/eng/ipmp921
  • https://www.mathnet.ru/eng/ipmp/y2003/p48
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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