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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 276, Pages 41–51 (Mi znsl1411)  

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

On the regions of values of systems {f(z0),f(z0),c2} and {f(r),f(r),f(z0)} 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 (174 kB) Citations (1)
Abstract: Let T be the class of functions f(z) having the following properties: these functions are regular and typically real in the disk |z|<1 and have the expansions f(z)=z+c2z2+c3z3+. We give algebraic and geometric characterizations of regions of values for the functionals in the class T mentioned in the title. In the same class of functions, we find regions of values for f(z0) with fixed c2 and f(z0) and for f(z0) with fixed f(r) and f(r).
Received: 19.02.2001
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 118, Issue 1, Pages 4753–4759
DOI: https://doi.org/10.1023/A:1025512314504
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: E. G. Goluzina, “On the regions of values of systems {f(z0),f(z0),c2} and {f(r),f(r),f(z0)} in the class of typically real functions”, Analytical theory of numbers and theory of functions. Part 17, Zap. Nauchn. Sem. POMI, 276, POMI, St. Petersburg, 2001, 41–51; J. Math. Sci. (N. Y.), 118:1 (2003), 4753–4759
Citation in format AMSBIB
\Bibitem{Gol01}
\by E.~G.~Goluzina
\paper On the regions of values of systems $\{f(z_0),f'(z_0),c_2\}$ and $\{f(r),f'(r),f(z_0)\}$ in the class of typically real functions
\inbook Analytical theory of numbers and theory of functions. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 276
\pages 41--51
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1411}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1850362}
\zmath{https://zbmath.org/?q=an:1071.30007}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 118
\issue 1
\pages 4753--4759
\crossref{https://doi.org/10.1023/A:1025512314504}
Linking options:
  • https://www.mathnet.ru/eng/znsl1411
  • https://www.mathnet.ru/eng/znsl/v276/p41
  • This publication is cited in the following 1 articles:
    1. E. G. Goluzina, “On the region of values of the system {c2,c3,f(z1),f(z1)} in the class of typically real finctions”, J. Math. Sci. (N. Y.), 176:1 (2011), 1–6  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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