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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 418, Pages 136–152 (Mi znsl5718)  
This article is cited in 3 scientific papers (total in 3 papers)

The module method and some extremal problems in the class Σ(r)

G. V. Kuz'mina

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (252 kB) Citations (3)
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Abstract: Let Σ(r) denote some class of functions f(z) meromorphic and univalent for |z|>1. In the class Σ(r), some extremal problems are solved. The proofs are based on the module method.
Key words and phrases: extremal problem, quadratic differential, trajectory, reduced module of domain.
Received: 30.09.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 200, Issue 5, Pages 595–604
DOI: https://doi.org/10.1007/s10958-014-1948-2
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: G. V. Kuz'mina, “The module method and some extremal problems in the class Σ(r)”, Analytical theory of numbers and theory of functions. Part 28, Zap. Nauchn. Sem. POMI, 418, POMI, St. Petersburg, 2013, 136–152; J. Math. Sci. (N. Y.), 200:5 (2014), 595–604
Citation in format AMSBIB
\Bibitem{Kuz13}
\by G.~V.~Kuz'mina
\paper The module method and some extremal problems in the class~$\Sigma(r)$
\inbook Analytical theory of numbers and theory of functions. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 418
\pages 136--152
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5718}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 200
\issue 5
\pages 595--604
\crossref{https://doi.org/10.1007/s10958-014-1948-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904173929}
Linking options:
  • https://www.mathnet.ru/eng/znsl5718
  • https://www.mathnet.ru/eng/znsl/v418/p136
    • This publication is cited in the following 3 articles:
    1. J. Math. Sci. (N. Y.), 222:5 (2017), 645–689  mathnet  crossref  mathscinet
    2. G. V. Kuz'mina, “The module method in certain general extremal decomposition problem”, J. Math. Sci. (N. Y.), 217:1 (2016), 114–124  mathnet  crossref  mathscinet
    3. G. V. Kuz'mina, “The general coefficient theorem of Jenkins and the method of modules of curve families”, J. Math. Sci. (N. Y.), 207:6 (2015), 898–908  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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