Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2016, Volume 207, Issue 2, Pages 191–225
DOI: https://doi.org/10.1070/SM8483 (Mi sm8483) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The least type of an entire function whose zeros have prescribed averaged densities and lie on rays or in a sector

G. G. Braichev

Moscow State Pedagogical University
English version PDF (619 kB) Citations (3) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM8483
Abstract: We consider the problem of the least possible type of entire functions whose zeros have fixed upper and lower averaged densities and lie in a given set. In particular, we solve this problem in several important cases: 1) all zeros lie in a sector, 2) all zeros lie between two straight lines; 3) all zeros lie on rays subdividing the complex plane into equal sectors.
Bibliography: 15 titles.
Keywords: type of an entire function, upper and lower averaged densities of zeros.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00281
The work was supported by the Russian Foundation for Basic Research (grant no. 13-01-00281).
Received: 01.02.2015 and 07.08.2015
Bibliographic databases:
Document Type: Article
UDC: 517.547.22
MSC: Primary 30D15; Secondary 30D10
Language: English
Original paper language: Russian
Citation: G. G. Braichev, “The least type of an entire function whose zeros have prescribed averaged densities and lie on rays or in a sector”, Sb. Math., 207:2 (2016), 191–225
Citation in format AMSBIB
\Bibitem{Bra16}
\by G.~G.~Braichev
\paper The least type of an entire function whose zeros have prescribed averaged densities and lie on rays or in a~sector
\jour Sb. Math.
\yr 2016
\vol 207
\issue 2
\pages 191--225
\mathnet{http://mi.mathnet.ru//eng/sm8483}
\crossref{https://doi.org/10.1070/SM8483}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3462731}
\zmath{https://zbmath.org/?q=an:1342.30018}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016SbMat.207..191B}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000375263200002}
\elib{https://elibrary.ru/item.asp?id=25707809}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84965053073}
Linking options:
  • https://www.mathnet.ru/eng/sm8483
  • https://doi.org/10.1070/SM8483
  • https://www.mathnet.ru/eng/sm/v207/i2/p45
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024