Matematicheskie Zametki
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. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2007, Volume 81, Issue 5, Pages 760–765
DOI: https://doi.org/10.4213/mzm3720 (Mi mzm3720) 		 
Some Properties of Entire Functions with Nonnegative Taylor Coefficients

S. Simich

Mathematical Institute, Serbian Academy of Sciences and Arts
Full-text PDF (388 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm3720
Abstract: If $f$ is an entire function of arbitrary finite order and with nonnegative Taylor coefficients, then we prove that its restriction to the positive part of the real axis belongs to de Haan's class $\Gamma$. We also show that $f/f'$ is a Beurling slowly varying function.
Keywords: entire function, regular variation, Beurling slow variation, de Haan's class $\Gamma$.
Received: 20.12.2005
Revised: 08.09.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 5, Pages 681–685
DOI: https://doi.org/10.1134/S0001434607050148
Bibliographic databases:
UDC: 517.547.2
Language: Russian
Citation: S. Simich, “Some Properties of Entire Functions with Nonnegative Taylor Coefficients”, Mat. Zametki, 81:5 (2007), 760–765; Math. Notes, 81:5 (2007), 681–685
Citation in format AMSBIB
\Bibitem{Sim07}
\by S.~Simich
\paper Some Properties of Entire Functions with Nonnegative Taylor Coefficients
\jour Mat. Zametki
\yr 2007
\vol 81
\issue 5
\pages 760--765
\mathnet{http://mi.mathnet.ru/mzm3720}
\crossref{https://doi.org/10.4213/mzm3720}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2348827}
\zmath{https://zbmath.org/?q=an:1146.30013}
\elib{https://elibrary.ru/item.asp?id=9498105}
\transl
\jour Math. Notes
\yr 2007
\vol 81
\issue 5
\pages 681--685
\crossref{https://doi.org/10.1134/S0001434607050148}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000247942500014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547246221}
Linking options:
  • https://www.mathnet.ru/eng/mzm3720
  • https://doi.org/10.4213/mzm3720
  • https://www.mathnet.ru/eng/mzm/v81/i5/p760
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025