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Preprints of the Keldysh Institute of Applied Mathematics, 2011, 066, 8 pp. (Mi ipmp172)  

The Picard solution of the sixth Painlevé equation and asymptotic forms found by Power Geometry.

I. V. Goryuchkina
References:
Abstract: The sixth Painlevé equation has solutions, which in the generic case determined new transcendent functions [1] (Painlevé transcendents). Only for some values of complex parameters of the equation it is possible to write its solution, which is expressed in elementary or known special functions. One of the most famous solution of the sixth Painlevé equation is the Picard solution. By the methods of Power Geometry we found all asymptotic expansions of solutions to the sixth Painlevé equation for all values its complex parameters of the five types. The purpose of this work is: to compare the known solution with asymptotic forms, found by Power Geometry.
Document Type: Preprint
Language: Russian
Citation: I. V. Goryuchkina, “The Picard solution of the sixth Painlevé equation and asymptotic forms found by Power Geometry.”, Keldysh Institute preprints, 2011, 066, 8 pp.
Citation in format AMSBIB
\Bibitem{Gor11}
\by I.~V.~Goryuchkina
\paper The Picard solution of the sixth Painlev\'e equation and asymptotic forms found by Power Geometry.
\jour Keldysh Institute preprints
\yr 2011
\papernumber 066
\totalpages 8
\mathnet{http://mi.mathnet.ru/ipmp172}
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  • https://www.mathnet.ru/eng/ipmp172
  • https://www.mathnet.ru/eng/ipmp/y2011/p66
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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