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KIAM Preprint  50, Moscow, 2003
Authors: Bruno A. D., Karulina E.S.
Power Expansions of Solutions to the fifth Painleve' Equation.
Abstract:
By means of Power Geometry, shortly presented in 1, in the generic case we compute all power expansions of solutions to the fifth Painleve' equation at points and z=0 and z = ∞. Exept known expansions being power series, we have found expansions with a more complicate set of power exponents. In particularly, we have found a family for which expansions begin from arbitrary power of the independent variable with arbitrary constant coefficient.
Publication language: russian,  pages: 26
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Bruno Alexander Dmitrievich,  orcid.org/0000-0002-7465-1258KIAM RAS
  • Karulina E.S.