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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 371, Pages 171–175 (Mi znsl3552)  

Short communications

On distortion theorems for typically real functions

E. G. Goluzina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg
References:
Abstract: The author's investigation in the class $T$ of typically real functions $f(z)$ in the disk $|z|<1$ are prolonged. The region of values of $f'(z_1)$ in the class of functions $f\in T$ with fixed values $f(z_1)$ and $f(r_j)$ $(j=1,2)$ is determined. Here $|z_1|<1$, $\operatorname{Im}z_1\ne0$, $0<r_j<1$ $(j=1,2)$. Bibl. – 4 titles.
Key words and phrases: typically real function, distortion theorems, region of values.
Received: 12.11.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 2, Pages 222–224
DOI: https://doi.org/10.1007/s10958-010-9863-7
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. G. Goluzina, “On distortion theorems for typically real functions”, Analytical theory of numbers and theory of functions. Part 24, Zap. Nauchn. Sem. POMI, 371, POMI, St. Petersburg, 2009, 171–175; J. Math. Sci. (N. Y.), 166:2 (2010), 222–224
Citation in format AMSBIB
\Bibitem{Gol09}
\by E.~G.~Goluzina
\paper On distortion theorems for typically real functions
\inbook Analytical theory of numbers and theory of functions. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 371
\pages 171--175
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3552}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 2
\pages 222--224
\crossref{https://doi.org/10.1007/s10958-010-9863-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77952089654}
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  • https://www.mathnet.ru/eng/znsl/v371/p171
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