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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2004 075, 13 pp. (Mi ipmp858)

This article is cited in 2 papers

Singularities of solutions to the first Painlevé equation

A. D. Bruno, V. Yu. Petrovich


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.



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