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Sbornik: Mathematics, 2007, Volume 198, Issue 12, Pages 1737–1745
DOI: https://doi.org/10.1070/SM2007v198n12ABEH003903
(Mi sm3858)
 

This article is cited in 17 scientific papers (total in 17 papers)

A majoration principle for meromorphic functions

V. N. Dubinin, S. I. Kalmykov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
References:
Abstract: A new majoration principle for meromorphic functions with prescribed poles is considered. Covering and distortion results for rational functions and polynomials are consequences of this principle. In particular, a simple proof of a Bernstein-type inequality for rational functions on several intervals is presented.
Bibliography: 17 titles.
Received: 16.04.2007 and 28.06.2007
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 12, Pages 37–46
DOI: https://doi.org/10.4213/sm3858
Bibliographic databases:
UDC: 517.547.24+517.535
MSC: Primary 26C15, 30D30, 41A17; Secondary 30C10
Language: English
Original paper language: Russian
Citation: V. N. Dubinin, S. I. Kalmykov, “A majoration principle for meromorphic functions”, Mat. Sb., 198:12 (2007), 37–46; Sb. Math., 198:12 (2007), 1737–1745
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/sm3858
  • https://doi.org/10.1070/SM2007v198n12ABEH003903
  • https://www.mathnet.ru/eng/sm/v198/i12/p37
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:1037
    Russian version PDF:264
    English version PDF:28
    References:88
    First page:10
     
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