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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 392, Pages 84–94 (Mi znsl4580)  
This article is cited in 3 scientific papers (total in 3 papers)

Some properties of the capacity and module of a polycondenser and removable sets

Yu. V. Dymchenko, V. A. Shlyk

Far Eastern State University, Vladivostok, Russia
Full-text PDF (232 kB) Citations (3)
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Abstract: The paper proves the continuity of the module of a polycondenser and the equality of the polycondenser's capacity and the module of a family of broken lines connecting the plates of the polycondenser. Also it is proved that sets that are removable for the condenser capacity are also removable for polycondenser capacity.
Key words and phrases: polycondenser, capacity of a polycondenser, module of a polycondenser, removable set.
Received: 31.05.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 184, Issue 6, Pages 709–715
DOI: https://doi.org/10.1007/s10958-012-0893-1
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: Yu. V. Dymchenko, V. A. Shlyk, “Some properties of the capacity and module of a polycondenser and removable sets”, Analytical theory of numbers and theory of functions. Part 26, Zap. Nauchn. Sem. POMI, 392, POMI, St. Petersburg, 2011, 84–94; J. Math. Sci. (N. Y.), 184:6 (2012), 709–715
Citation in format AMSBIB
\Bibitem{DymShl11}
\by Yu.~V.~Dymchenko, V.~A.~Shlyk
\paper Some properties of the capacity and module of a~polycondenser and removable sets
\inbook Analytical theory of numbers and theory of functions. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 392
\pages 84--94
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4580}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 184
\issue 6
\pages 709--715
\crossref{https://doi.org/10.1007/s10958-012-0893-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864283020}
Linking options:
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  • https://www.mathnet.ru/eng/znsl/v392/p84
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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