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Preprints of the Keldysh Institute of Applied Mathematics, 2013, 097, 12 pp. (Mi ipmp1847)  
Gevrey orders of solutions to the fourth Painlevé equation near infinity

A. V. Parusnikova
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Abstract: We consider the fourth Painlevé equation and its formal power series solutions near infinity obtained if $\alpha\beta\ne0$. We obtain Gevrey orders of each power series solution using the methods of French and Japanese schools and compare these algorithms with algorithms of Power Geometry.
Document Type: Preprint
UDC: 517.925
Language: Russian
Citation: A. V. Parusnikova, “Gevrey orders of solutions to the fourth Painlevé equation near infinity”, Keldysh Institute preprints, 2013, 097, 12 pp.
Citation in format AMSBIB
\Bibitem{Par13}
\by A.~V.~Parusnikova
\paper Gevrey orders of solutions to the fourth Painlev{\'e} equation near infinity
\jour Keldysh Institute preprints
\yr 2013
\papernumber 097
\totalpages 12
\mathnet{http://mi.mathnet.ru/ipmp1847}
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  • https://www.mathnet.ru/eng/ipmp/y2013/p97
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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