Basic asymptotic expansions of solutions to the sixth Painlevé equation
- 21 Downloads
Asymptotic expansions of solutions of three types are found for the sixth Painlevé equation in its three singular points.
KeywordsSingular Point Asymptotic Expansion Complex Constant Power Exponent Keldysh Institute
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Unable to display preview. Download preview PDF.
- 4.A. D. Bruno, I. V. Goryuchkina, “Expansions of solutions to the sixth Painlevé equation,” Dokl. Math., 69, No. 2, 268–272 (2004).Google Scholar
- 6.A. D. Bruno, I. V. Goryuchkina, Expansions of solutions to the sixth Painlevé equation near singular points x = 0 and x = ∞[in Russian], Keldysh Institute of Applied Mathematics, Moscow, Preprint No. 13 (2006).Google Scholar
- 8.K. Iwasaki, H. Kimura, S. Shimomura, M. Yoshida, From Gauss to Painlevé. A Modern Theory of Special Functions. Aspects of Mathematics E16, Friedr. Vieweg & Sohn, Braunschweig (1991).Google Scholar
© Springer Science+Business Media, Inc. 2009