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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 440, Pages 43–56 (Mi znsl6212)  
This article is cited in 2 scientific papers (total in 2 papers)

Distortion theorems for circumferentially mean $p$-valent functions

V. N. Dubininab

a Far Eastern Federal University, Vladivostok, Russia
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia
Full-text PDF (214 kB) Citations (2)
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Abstract: By symmetrization approach some distortion theorems for circumferentially mean $p$-valent functions are proved. We consider functions with a zero of order $p$ at the origin, functions without zeros and functions with Montel's normalization. All equality cases in the obtained estimates are established.
Key words and phrases: circumferentially mean p-valent function, the Chebyshev polynomial, symmetrization.
Funding agency Grant number
Russian Science Foundation 14-11-00022
Received: 01.06.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 217, Issue 1, Pages 28–36
DOI: https://doi.org/10.1007/s10958-016-2952-5
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, “Distortion theorems for circumferentially mean $p$-valent functions”, Analytical theory of numbers and theory of functions. Part 30, Zap. Nauchn. Sem. POMI, 440, POMI, St. Petersburg, 2015, 43–56; J. Math. Sci. (N. Y.), 217:1 (2016), 28–36
Citation in format AMSBIB
\Bibitem{Dub15}
\by V.~N.~Dubinin
\paper Distortion theorems for circumferentially mean $p$-valent functions
\inbook Analytical theory of numbers and theory of functions. Part~30
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 440
\pages 43--56
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6212}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3504458}
\elib{https://elibrary.ru/item.asp?id=27016721}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 217
\issue 1
\pages 28--36
\crossref{https://doi.org/10.1007/s10958-016-2952-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84978160649}
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  • https://www.mathnet.ru/eng/znsl/v440/p43
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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