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Preprints of the Keldysh Institute of Applied Mathematics, 2003, 048, 36 pp.
(Mi ipmp921)
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This article is cited in 1 scientific paper (total in 1 paper)
Power series and nonpower asymptotics of solutions to the second Painlevé equation
A. D. Bruno, Yu. V. Zavgorodnyaya
Abstract:
By means of Power Geometry, shortly presented in § 1, in the generic case we compute all power expansions of solutions to the second Painlevé equation at points $z=0$, $z=\infty$ (§ 2) and $z=z_0\ne0$ (§ 3). Analogously for $a=0$ we compute all power expansions of solutions and of logarithm of solutions (§ 4). We have found new fine properties of some of these expansions.
Citation:
A. D. Bruno, Yu. V. Zavgorodnyaya, “Power series and nonpower asymptotics of solutions to the second Painlevé equation”, Keldysh Institute preprints, 2003, 048, 36 pp.
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https://www.mathnet.ru/eng/ipmp921 https://www.mathnet.ru/eng/ipmp/y2003/p48
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Abstract page: | 97 | Full-text PDF : | 19 |
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