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KIAM Preprint  51, Moscow, 2003
Authors: Bruno A. D., Gridnev A.V.
Power and Exponential Expansions of Solutions to the Third 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 third Painleve equation at points z = 0 (2) and z = z0 ≠ 0 (3). Analogously we compute all power expansions of solutions to the modified third Painleve equation at points t = 0, t = ∞ (4), t = t0 ≠ 0 (5), where t = exp(z). In the point t=0 we have found a new type singularity of the modified third Painleve equation.
Publication language: russian, pages: 19
Research direction:
Mathematical problems and theory of numerical methods
Source text:
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