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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 382, Pages 5–14 (Mi znsl3856)  

This article is cited in 1 scientific paper (total in 1 paper)

On the region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class of typically real finctions

E. G. Goluzina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (190 kB) Citations (1)
References:
Abstract: Investigations in the well-known class $T$ of typically real functions $f(z)$ in the disk $U=\{z\colon|z|<1\}$ are continued. The region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class $T$ is investigated. The region of values of $f'(z_1)$ in the class of functions $f\in T$ with fixed values $c_2, c_3$ and $f(z_1)$ is determined. Bibl. 10 titles.
Key words and phrases: typically real function, distortion theorem.
Received: 16.09.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 176, Issue 1, Pages 1–6
DOI: https://doi.org/10.1007/s10958-011-0385-8
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. G. Goluzina, “On the region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class of typically real finctions”, Computational methods and algorithms. Part XXIII, Zap. Nauchn. Sem. POMI, 382, POMI, St. Petersburg, 2010, 5–14; J. Math. Sci. (N. Y.), 176:1 (2011), 1–6
Citation in format AMSBIB
\Bibitem{Gol10}
\by E.~G.~Goluzina
\paper On the region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class of typically real finctions
\inbook Computational methods and algorithms. Part~XXIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 382
\pages 5--14
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3856}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 176
\issue 1
\pages 1--6
\crossref{https://doi.org/10.1007/s10958-011-0385-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79957839993}
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  • https://www.mathnet.ru/eng/znsl/v382/p5
  • 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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