Expansions of solutions to the equation P₁² by algorithms of power geometry

• Published in: Український математичний вісник
• Date: 2009
• Main Authors: Bruno, A.D., Kudryashov, N.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124362
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Expansions of solutions to the equation P₁² by algorithms of power geometry / A.D. Bruno, N.A. Kudryashov // Український математичний вісник. — 2009. — Т. 6, № 3. — С. 311-337. — Бібліогр.: 48 назв. — англ.

Algorithms of Power Geometry allow to find all power expansions of solutions to ordinary differential equations of a rather general type. Among these, there are Painlev´e equations and their generalizations. In the article we demonstrate how to find by these algorithms all power expansions of soluti...