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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 302, Pages 38–51 (Mi znsl917)  
This article is cited in 24 scientific papers (total in 24 papers)

Generalized condensers and the asymptotics of their capacities under degeneration of some plates

V. N. Dubinin

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (219 kB) Citations (24)
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Abstract: This note presents the simplest properties of the conformal capacity of generalized condensers concentrated on domains of the Riemann sphere. The asymptotic formula for the capacity of a generalized condenser as some of its plates contract to points is derived.
Received: 08.10.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 129, Issue 3, Pages 3835–3842
DOI: https://doi.org/10.1007/s10958-005-0319-4
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “Generalized condensers and the asymptotics of their capacities under degeneration of some plates”, Analytical theory of numbers and theory of functions. Part 19, Zap. Nauchn. Sem. POMI, 302, POMI, St. Petersburg, 2003, 38–51; J. Math. Sci. (N. Y.), 129:3 (2005), 3835–3842
Citation in format AMSBIB
\Bibitem{Dub03}
\by V.~N.~Dubinin
\paper Generalized condensers and the asymptotics of their capacities under degeneration of some plates
\inbook Analytical theory of numbers and theory of functions. Part~19
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 302
\pages 38--51
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl917}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2023031}
\zmath{https://zbmath.org/?q=an:05312791}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 129
\issue 3
\pages 3835--3842
\crossref{https://doi.org/10.1007/s10958-005-0319-4}
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  • https://www.mathnet.ru/eng/znsl/v302/p38
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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