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Preprints of the Keldysh Institute of Applied Mathematics, 2007, 077, 28 pp. (Mi ipmp532)  

All asymptotic expansions of solutions to the equation P6 are obtained from base ones

A. D. Bruno, I. V. Goryuchkina
Abstract: By means of two symmetries of the equation P6 from base expansions of solutions in the case $a\cdot b\ne0$ (Preprint No 62 of the Keldysh Institute of Applied Mathematics of RAS, 2007) we obtain all other expansions of solutions near singular points of equation $x=0$ and $x=\infty$ existed in this case. Asymptotic expansions of solutions to the equation P6 near its singular point $x=1$ computed by means its third symmetry from expansions of solutions near other its singular point $x=0$.
Document Type: Preprint
Language: Russian
Citation: A. D. Bruno, I. V. Goryuchkina, “All asymptotic expansions of solutions to the equation P6 are obtained from base ones”, Keldysh Institute preprints, 2007, 077, 28 pp.
Citation in format AMSBIB
\Bibitem{BruGor07}
\by A.~D.~Bruno, I.~V.~Goryuchkina
\paper All asymptotic expansions of solutions to the equation~P6 are obtained from base ones
\jour Keldysh Institute preprints
\yr 2007
\papernumber 077
\totalpages 28
\mathnet{http://mi.mathnet.ru/ipmp532}
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  • https://www.mathnet.ru/eng/ipmp/y2007/p77
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    Препринты Института прикладной математики им. М. В. Келдыша РАН
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