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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 9–19 (Mi tm3436)  

This article is cited in 9 scientific papers (total in 9 papers)

Analytic continuations of a general algebraic function by means of Puiseux series

I. A. Antipova, E. N. Mikhalkin

Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (240 kB) Citations (9)
References:
Abstract: A complete list of power series (centered at the point $x=0$) is obtained for the solution $y(x)$ of the general reduced algebraic equation $y^n+x_s y^{n_s}+\dots +x_1 y^{n_1}-1=0$. The domains of convergence of these series are described in terms of the amoeba of the discriminant of the equation. Sectorial domains through which one selected series is analytically continued to the other series are explicitly described.
Received in August 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 279, Pages 3–13
DOI: https://doi.org/10.1134/S0081543812080020
Bibliographic databases:
Document Type: Article
UDC: 517.55+512.626
Language: Russian
Citation: I. A. Antipova, E. N. Mikhalkin, “Analytic continuations of a general algebraic function by means of Puiseux series”, Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, MAIK Nauka/Interperiodica, Moscow, 2012, 9–19; Proc. Steklov Inst. Math., 279 (2012), 3–13
Citation in format AMSBIB
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\paper Analytic continuations of a~general algebraic function by means of Puiseux series
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers
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\yr 2012
\vol 279
\pages 9--19
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\pages 3--13
\crossref{https://doi.org/10.1134/S0081543812080020}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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