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KIAM Preprint № 60, Moscow, 2011
Authors: Bruno A. D.
Power-elliptic expansions of solutions to an ODE
We consider an ordinary differential equation of a very general form. For it, we introduce the notion of a power-elliptic expansion of its solutions and give a method of calculation of the expansion. We show that the first and second Painlev'e equations have got such expansions of solution.
Publication language: russian,  pages: 19
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Bruno Alexander Dmitrievich, RAS