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arXiv · 1310.5345

On Gevrey orders of power expansions of solutions to the third and fifth Painlev\'{e} equations

Anastasia Parusnikova
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Abstract

The question under consideration is Gevrey summability of power expansions of solutions to the third and fifth Painlev\'{e} equations near infinity. Methods of French and Japaneese schools are used to analyse these properties of formal power-series solutions. The results obtained are compared with the ones obtained by means of Power Geometry.

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Anastasia Parusnikova. 2013-10-20. On Gevrey orders of power expansions of solutions to the third and fifth Painlev\'{e} equations. https://arxiv.org/abs/1310.5345

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