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KIAM Preprint  48, Moscow, 2003
Authors: Bruno A. D., Zavgorodnyaya Yu.V.
Power Series and Nonpower Asymptotics of Solutions to the Second 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 second Painleve' equation at points z = 0, z = ∞ (2) and z = z0 ≠ 0 (3). Analogously for a = 0 we compute all power expansions of solutions and of logarithm of solutions (4). We have found new fine properties of some of these expansions.
Publication language: russian,  pages: 36
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
  • Zavgorodnyaya Yu.V.