A. D. Bruno, A. V. Parusnikova, “Expansions and asymptotic forms of solutions to the fifth Painlevé equation near infinity”, Keldysh Institute preprints, 2012,061, 32 pp.

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Expansions and asymptotic forms of solutions to the fifth Painlevé equation near infinity

A. D. Bruno, A. V. Parusnikova

Abstract: We consider the fifth Painlevé equation in a neighborhood of infinity. By means of two-dimensional power geometry we have calculated all exponential expansions of its solutions. By means of three-dimensional power geometry we have calculated some power-elliptic and power-periodic asymptotic forms of its solutions.

UDC: 517.925