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Construction of an approximate solution in the neighborhood of a moving singular point for the second Painlevé equation. (Russian. English summary) Zbl 1049.34111
Summary: An approximate solution in the form of a Laurent series near a moving singular point is constructed. The error of the solution is estimated.
MSC:
34M55 Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies
34M35 Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms
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