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, 2004, Volume 314, Pages 52–75 (Mi znsl749)  
This article is cited in 14 scientific papers (total in 14 papers)

Some applications of generalized condensers to analytic function theory

V. N. Dubinin, N. V. Eyrikh

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Full-text PDF (272 kB) Citations (14)
References:
PDF
HTML
Abstract: New applications of generalized condensers with two or more plates are considered. Based on one and the same approach and simplest properties of such condensers, boundary distortion theorems for analytic univalent functions bounded in a disk are established, as well as bounds for certain combinations of coefficients in expansions of such functions, inequalities for polynomials, and theorems on extremal decompositions of the complex sphere. Part of the results obtained contains new information on the Schwarzian derivative of a regular univalent function.
Received: 19.08.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 133, Issue 6, Pages 1634–1647
DOI: https://doi.org/10.1007/s10958-006-0076-z
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: V. N. Dubinin, N. V. Eyrikh, “Some applications of generalized condensers to analytic function theory”, Analytical theory of numbers and theory of functions. Part 20, Zap. Nauchn. Sem. POMI, 314, POMI, St. Petersburg, 2004, 52–75; J. Math. Sci. (N. Y.), 133:6 (2006), 1634–1647
Citation in format AMSBIB
\Bibitem{DubEyr04}
\by V.~N.~Dubinin, N.~V.~Eyrikh
\paper Some applications of generalized condensers to analytic function theory
\inbook Analytical theory of numbers and theory of functions. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 314
\pages 52--75
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl749}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2119734}
\zmath{https://zbmath.org/?q=an:1083.30026}
\elib{https://elibrary.ru/item.asp?id=9129779}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 133
\issue 6
\pages 1634--1647
\crossref{https://doi.org/10.1007/s10958-006-0076-z}
\elib{https://elibrary.ru/item.asp?id=13511170}
Linking options:
  • https://www.mathnet.ru/eng/znsl749
  • https://www.mathnet.ru/eng/znsl/v314/p52
    • This publication is cited in the following 14 articles:
    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:424
    Full-text PDF :121
    References:55
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024