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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 404, Pages 75–82 (Mi znsl5260)  

On an estimate in the class of typically real functions

E. G. Goluzina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
References:
Abstract: Let $T(c_2,c_3)$ be the class of functions $f(z)=z+\sum^\infty_{n=2}c_nz^n$ regular and typically real in the disk $|z|<1$ with fixed values of the coefficients $c_2$ and $c_3$. The boundary functions of the region of values of $f(z_0)$ $(0<|z_0|<1)$ and sharp estimates for $f(r)$, $0<r<1$, in the class $T(c_2,c_3)$ are determined.
Key words and phrases: typically real functions, region of values.
Received: 25.10.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 193, Issue 1, Pages 40–44
DOI: https://doi.org/10.1007/s10958-013-1431-5
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. G. Goluzina, “On an estimate in the class of typically real functions”, Analytical theory of numbers and theory of functions. Part 27, Zap. Nauchn. Sem. POMI, 404, POMI, St. Petersburg, 2012, 75–82; J. Math. Sci. (N. Y.), 193:1 (2013), 40–44
Citation in format AMSBIB
\Bibitem{Gol12}
\by E.~G.~Goluzina
\paper On an estimate in the class of typically real functions
\inbook Analytical theory of numbers and theory of functions. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 404
\pages 75--82
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5260}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029593}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 193
\issue 1
\pages 40--44
\crossref{https://doi.org/10.1007/s10958-013-1431-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884975153}
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