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Matematicheskie Zametki, 2013, Volume 94, Issue 3, Pages 331–337
DOI: https://doi.org/10.4213/mzm9074 (Mi mzm9074) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Integral Estimates of Lengths of Level Lines of Rational Functions and Zolotarev's Problem

V. I. Danchenko

Vladimir
Full-text PDF (437 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm9074
Abstract: Integral estimates of lengths of level lines (lemniscates) of rational functions of a complex variable are obtained. These estimates are related to the problem of separation of compact sets by rational functions and to Zolotarev's problem.
Keywords: integral estimate, rational function, separation of compact sets.
Received: 21.03.2011
Revised: 23.12.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 3, Pages 314–319
DOI: https://doi.org/10.1134/S0001434613090022
Bibliographic databases:
Document Type: Article
UDC: 517.535+517.546
Language: Russian
Citation: V. I. Danchenko, “Integral Estimates of Lengths of Level Lines of Rational Functions and Zolotarev's Problem”, Mat. Zametki, 94:3 (2013), 331–337; Math. Notes, 94:3 (2013), 314–319
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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