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Original Articles

The power expansions of the solutions of the first painlevé hierarchy

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Pages 389-399 | Received 18 Oct 2005, Published online: 14 Oct 2010
 

Abstract

In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For these equations three types of power expansions, i.e. holomorphic, polar and asymptotic are found. As an example the equation of the fourth order is considered.

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