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

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...

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Bibliographic Details
Date:2009
Main Authors: Bruno, A.D., Kudryashov, N.A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2009
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/124362
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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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine