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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.
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, RAS
  • Zavgorodnyaya Yu.V.