A. D. Bruno, V. Yu. Petrovich, “Singularities of solutions to the first Painlevé equation”, Keldysh Institute preprints, 2004, 075, 13 pp.

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Preprints of the Keldysh Institute of Applied Mathematics, 2004, 075, 13 pp. (Mi ipmp858)

This article is cited in 2 scientific papers (total in 2 papers)

Singularities of solutions to the first Painlevé equation

A. D. Bruno, V. Yu. Petrovich

Full-text PDF Citations (2)

Abstract: We compute all power expansions of solutions to the first Painleve equation by the methods of Power Geometry. We compute also all exponential additions to the expansions. We show that solutions to the equation have not the power-logarithmic expansions, containing logarithms, and have not nonpower asymptotics.

Document Type: Preprint

Language: Russian

Citation: A. D. Bruno, V. Yu. Petrovich, “Singularities of solutions to the first Painlevé equation”, Keldysh Institute preprints, 2004, 075, 13 pp.

Citation in format AMSBIB

\Bibitem{BruPet04}

\by A.~D.~Bruno, V.~Yu.~Petrovich

\paper Singularities of solutions to the first Painlev\'e equation

\jour Keldysh Institute preprints

\yr 2004

\papernumber 075

\totalpages 13

\mathnet{http://mi.mathnet.ru/ipmp858}

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https://www.mathnet.ru/eng/ipmp858

https://www.mathnet.ru/eng/ipmp/y2004/p75

This publication is cited in the following 2 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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