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Zap. Nauchn. Sem. POMI, 2017, Volume 458, Pages 17–30 (Mi znsl6451)  

This article is cited in 1 scientific paper (total in 1 paper)

Lemniscate zone and distortion theorems for multivalent functions

V. N. Dubininab

a Far Eastern Federal University, Vladivostok, Russia
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia

Abstract: The impact of the connectivity of some lemniscates of the multivalent function on the absolute value of this function or its derivative is considered.

Key words and phrases: lemniscates, multivalent functions, distortion theorems, Zolotarev fractions, rational functions, symmetrization.

Funding Agency Grant Number
Russian Science Foundation 14-11-00022


Full text: PDF file (229 kB)
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Document Type: Article
UDC: 517.5
Received: 03.07.2017

Citation: V. N. Dubinin, “Lemniscate zone and distortion theorems for multivalent functions”, Analytical theory of numbers and theory of functions. Part 33, Zap. Nauchn. Sem. POMI, 458, POMI, St. Petersburg, 2017, 17–30

Citation in format AMSBIB
\Bibitem{Dub17}
\by V.~N.~Dubinin
\paper Lemniscate zone and distortion theorems for multivalent functions
\inbook Analytical theory of numbers and theory of functions. Part~33
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 458
\pages 17--30
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6451}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. N. Dubinin, “Poyas lemniskat i teoremy iskazheniya dlya mnogolistnykh funktsii. II”, Matem. zametki, 104:5 (2018), 700–707  mathnet  crossref  elib
  • Записки научных семинаров ПОМИ
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