Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 20–30 (Mi znsl4640)  

On the mutual change of values of a function and its coefficients 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: The paper coninues investigations of the well-known class $T$ of typically real functions $f(z)$ in the disk $U=\{z\colon|z|<1\}$. The region of values of the system $\{c_2,c_3,f(z_1),f(z_2)\}$ in the class $T$ is studied. The region of values of $f(z_2)$ in the class of functions $f\in T$ with fixed values $c_2,c_3$ and $f(z_1)$ is determined.
Key words and phrases: typically real function, region of values, coefficients of the problem.
Received: 09.11.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 6, Pages 754–760
DOI: https://doi.org/10.1007/s10958-012-0781-8
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: E. G. Goluzina, “On the mutual change of values of a function and its coefficients in the class of typically real functions”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 20–30; J. Math. Sci. (N. Y.), 182:6 (2012), 754–760
Citation in format AMSBIB
\Bibitem{Gol11}
\by E.~G.~Goluzina
\paper On the mutual change of values of a~function and its coefficients in the class of typically real functions
\inbook Computational methods and algorithms. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 395
\pages 20--30
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4640}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870158}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 6
\pages 754--760
\crossref{https://doi.org/10.1007/s10958-012-0781-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861775858}
Linking options:
  • https://www.mathnet.ru/eng/znsl4640
  • https://www.mathnet.ru/eng/znsl/v395/p20
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:254
    Full-text PDF :51
    References:76
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024