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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 418, Pages 105–120 (Mi znsl5716)  
This article is cited in 1 scientific paper (total in 1 paper)

On polynomials and rational functions normalized on the circular arcs

S. I. Kalmykov

Bolyai Institute, University of Szeged, Aradi v. tere 1, Szeged 6720, Hungary
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Abstract: Applications of the geometric theory of functions to some inequalities for algebraic polynomials and rational functions normalized on the circular arcs are considered. In particular, coefficients estimates, covering and distortion theorems are obtained. These theorems supplement recent results of the author and V. N. Dubinin.
Key words and phrases: covering and distortion theorems, inequalities for polynomials, inequalities for rational functions, Chebyshev polynomials, majorization principles, univalent functions.
Received: 05.09.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 200, Issue 5, Pages 577–585
DOI: https://doi.org/10.1007/s10958-014-1946-4
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: S. I. Kalmykov, “On polynomials and rational functions normalized on the circular arcs”, Analytical theory of numbers and theory of functions. Part 28, Zap. Nauchn. Sem. POMI, 418, POMI, St. Petersburg, 2013, 105–120; J. Math. Sci. (N. Y.), 200:5 (2014), 577–585
Citation in format AMSBIB
\Bibitem{Kal13}
\by S.~I.~Kalmykov
\paper On polynomials and rational functions normalized on the circular arcs
\inbook Analytical theory of numbers and theory of functions. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 418
\pages 105--120
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5716}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 200
\issue 5
\pages 577--585
\crossref{https://doi.org/10.1007/s10958-014-1946-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84904161155}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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