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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 314, Pages 174–195 (Mi znsl755)  
This article is cited in 4 scientific papers (total in 4 papers)

Inequalities for entire functions of finite degree and polynomials

A. V. Olesov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (245 kB) Citations (4)
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Abstract: The extremal properties of polynomials and entire functions of finite degree not vanishing in the upper half-plane are studied. The exact inequalities obtained complement and strengthen the results by Genchev, Gardner and Govil, Turan, and Lax. Proofs are based on a univalence condition established by Dubinin.
Received: 19.04.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 133, Issue 6, Pages 1704–1717
DOI: https://doi.org/10.1007/s10958-006-0082-1
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: A. V. Olesov, “Inequalities for entire functions of finite degree and polynomials”, Analytical theory of numbers and theory of functions. Part 20, Zap. Nauchn. Sem. POMI, 314, POMI, St. Petersburg, 2004, 174–195; J. Math. Sci. (N. Y.), 133:6 (2006), 1704–1717
Citation in format AMSBIB
\Bibitem{Ole04}
\by A.~V.~Olesov
\paper Inequalities for entire functions of finite degree and polynomials
\inbook Analytical theory of numbers and theory of functions. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 314
\pages 174--195
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl755}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2119740}
\zmath{https://zbmath.org/?q=an:1082.30019}
\elib{https://elibrary.ru/item.asp?id=9129785}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 133
\issue 6
\pages 1704--1717
\crossref{https://doi.org/10.1007/s10958-006-0082-1}
\elib{https://elibrary.ru/item.asp?id=13521041}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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