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Preprints of the Keldysh Institute of Applied Mathematics, 2007, 062, 33 pp.
(Mi ipmp517)
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This article is cited in 2 scientific papers (total in 2 papers)
All base asymptotic expansions of solutions to the equation P6 in the case $a\cdot b\ne0$
A. D. Bruno, I. V. Goryuchkina
Abstract:
With the methods of power geometry we obtained those asymptotic expansions of solutions to the equation P6 near its singular point $x=0$, which have the order of the first term less one. These expansions are named base expansions. They organize 19 families and include expansions of four types: power, power-logarithmic, complicated and exotic. All other asymptotic expansions of solutions to the equation P6 near its singular points $x=0$, $x=1$ and $x=\infty$ compute from the base expansions by means of symmetries of the equation. The most of these expansions are new.
Citation:
A. D. Bruno, I. V. Goryuchkina, “All base asymptotic expansions of solutions to the equation P6 in the case $a\cdot b\ne0$”, Keldysh Institute preprints, 2007, 062, 33 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp517 https://www.mathnet.ru/eng/ipmp/y2007/p62
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Abstract page: | 186 | Full-text PDF : | 51 |
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