E. G. Goluzina, “On the region of values of the system $\{f(z_1),\dots,f(z_n)\}$ in the class of typically real functions”, Analytical theory of numbers and theory of functions. Part 20, Zap. Nauchn. Sem. POMI, 314, POMI, St. Petersburg, 2004, 41–51; J. Math. Sci. (N. Y.), 133:6 (2006), 1627

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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 314, Pages 41–51 (Mi znsl748)

This article is cited in 5 scientific papers (total in 5 papers)

On the region of values of the system $\{f(z_1),\dots,f(z_n)\}$ in the class of typically real functions

E. G. Goluzina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Full-text PDF (184 kB) Citations (5)

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Abstract: The paper studies the region of values of the system $\{f(z_1), f(z_2),\dots,f(z_n)\}$ in the class $T$ of functions $f(z)=z+a_2z^2+\dots$ regular in the unit disk and satisfying the condition $\operatorname{Im}f(z)\cdot\operatorname{Im}z>0$ for $\operatorname{Im}z\ne0$.

Received: 25.06.2004

English version:
Journal of Mathematical Sciences (New York), 2006, Volume 133, Issue 6, Pages 1627–1633
DOI: https://doi.org/10.1007/s10958-006-0075-0

Bibliographic databases:

UDC: 517.54

Language: Russian

Citation: E. G. Goluzina, “On the region of values of the system $\{f(z_1),\dots,f(z_n)\}$ in the class of typically real functions”, Analytical theory of numbers and theory of functions. Part 20, Zap. Nauchn. Sem. POMI, 314, POMI, St. Petersburg, 2004, 41–51; J. Math. Sci. (N. Y.), 133:6 (2006), 1627–1633

Citation in format AMSBIB

\Bibitem{Gol04}

\by E.~G.~Goluzina

\paper On the region of values of the system $\{f(z_1),\dots,f(z_n)\}$ in the class of typically real functions

\inbook Analytical theory of numbers and theory of functions. Part~20

\serial Zap. Nauchn. Sem. POMI

\yr 2004

\vol 314

\pages 41--51

\publ POMI

\publaddr St.~Petersburg

\mathnet{http://mi.mathnet.ru/znsl748}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2119733}

\zmath{https://zbmath.org/?q=an:1084.30010}

\transl

\jour J. Math. Sci. (N. Y.)

\yr 2006

\vol 133

\issue 6

\pages 1627--1633

\crossref{https://doi.org/10.1007/s10958-006-0075-0}

Linking options:

https://www.mathnet.ru/eng/znsl748

https://www.mathnet.ru/eng/znsl/v314/p41

Cycle of papers

On the region of values of the system $\{f(z_1),\dots,f(z_n)\}$ in the class of typically real functions
E. G. Goluzina
Zap. Nauchn. Sem. POMI, 2004, 314, 41–51
On the region of values of the system $\{f(z_1),\dots,f(z_n)\}$ in the class of typically real functions. II
E. G. Goluzina
Zap. Nauchn. Sem. POMI, 2005, 323, 24–33
The region of values of the system $\{f(z_1),\dots,f(z_n)\}$ in the class of typically real functions. III
E. G. Goluzina
Zap. Nauchn. Sem. POMI, 2006, 337, 23–34

This publication is cited in the following 5 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	312
Full-text PDF :	70
References:	85

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