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KIAM Preprint № 62, Moscow, 2007
Authors: Bruno A. D., Goryuchkina I. V.
All Base Asymptotic Expansions of Solutions to the Equation P6 in the case a∙b ≠ 0
Abstract:
With the methods of power geometry we obtained those asymptotic expansions of solutions to the equation P6 near its singular point x=0, which have the order of the first term less one. These expansions are named base expansions. They organize 19 families and include expansions of four types: power, power-logarithmic, complicated and exotic. All other asymptotic expansions of solutions to the equation P6 near its singular points x=0, x=1 and x=∞ compute from the base expansions by means of symmetries of the equation. The most of these expansions are new.
Publication language: russian,  pages: 33
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
  • Goryuchkina I. V.,  KIAM RAS