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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 $\Sigma(r)$

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 $\Sigma(r)$ denote some class of functions $f(z)$ meromorphic and univalent for $|z|>1$. In the class $\Sigma(r)$, 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 $\Sigma(r)$”, 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}
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  • https://www.mathnet.ru/eng/znsl/v418/p136
    • 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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