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Preprints of the Keldysh Institute of Applied Mathematics, 2007, 060, 16 pp. (Mi ipmp515)  

Review of all asymptotic expansions of solutions to the equation P6

A. D. Bruno, I. V. Goryuchkina
Abstract: Here are the history of origin of the problem, short review of works, formulating of purpose of the research and main results in form of theorems. We considered all asymptotic expansions of solutions to the sixth Painlev'e equation near all three its singular points $x=0$, $x=1$ and $x=\infty$ for all values of its four complex parameters. They form all together 111 families and include expansions of four types: power, power-logarithmic, complicated and exotic. Most of these expansions are new.
Document Type: Preprint
UDC: 517.91
Language: Russian
Citation: A. D. Bruno, I. V. Goryuchkina, “Review of all asymptotic expansions of solutions to the equation P6”, Keldysh Institute preprints, 2007, 060, 16 pp.
Citation in format AMSBIB
\Bibitem{BruGor07}
\by A.~D.~Bruno, I.~V.~Goryuchkina
\paper Review of all asymptotic expansions of solutions to the equation~P6
\jour Keldysh Institute preprints
\yr 2007
\papernumber 060
\totalpages 16
\mathnet{http://mi.mathnet.ru/ipmp515}
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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