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Sbornik: Mathematics, 2005, Volume 196, Issue 11, Pages 1605–1625
DOI: https://doi.org/10.1070/SM2005v196n11ABEH003723 (Mi sm1391) 		 
This article is cited in 14 scientific papers (total in 15 papers)

Schwarz's lemma and estimates of coefficients for regular functions with free domain of definition

V. N. Dubinin

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
English version PDF (260 kB) Citations (15)
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DOI: https://doi.org/10.1070/SM2005v196n11ABEH003723
Abstract: On the basis of a sufficient condition for univalency and classical properties of conformal maps new versions of Schwarz's inequalities for regular functions with free domain of definition are obtained, refined, and supplemented. Estimates for coefficients of the expansions of such functions are obtained and applied to inequalities for algebraic polynomials.
Received: 14.12.2004
Russian version:
Matematicheskii Sbornik, 2005, Volume 196, Number 11, Pages 53–74
DOI: https://doi.org/10.4213/sm1391
Bibliographic databases:
UDC: 517.54
MSC: 30C10, 30C50
Language: English
Original paper language: Russian
Citation: V. N. Dubinin, “Schwarz's lemma and estimates of coefficients for regular functions with free domain of definition”, Mat. Sb., 196:11 (2005), 53–74; Sb. Math., 196:11 (2005), 1605–1625
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2005v196n11ABEH003723
  • https://www.mathnet.ru/eng/sm/v196/i11/p53
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:708
    Russian version PDF:302
    English version PDF:36
    References:71
    First page:3
     
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