Lukashevich, N. A.; Orlov, V. N.; Samodurov, A. A. Construction of an approximate solution in the neighborhood of a moving singular point for the second Painlevé equation. (Russian. English summary) Zbl 1049.34111 Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2002, No. 1, 79-85, 116 (2002). 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 PDF BibTeX XML Cite \textit{N. A. Lukashevich} et al., Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 2002, No. 1, 79--85, 116 (2002; Zbl 1049.34111)