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, 2022, Volume 111, Issue 1, Pages 3–7
DOI: https://doi.org/10.4213/mzm13223 (Mi mzm13223) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Approximation by Simple Partial Fractions: Universal Sets of Poles

P. A. Borodin

Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (412 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm13223
Abstract: For unbounded subsets E of the complex plane, we obtain conditions that are necessary or sufficient so that, for any compact set K that does not divide the plane, the simple partial fractions with poles in $E\setminus K$ approximate any function continuous on K and holomorphic inside K with an arbitrary accuracy uniformly on K.
Keywords: approximation, simple partial fractions, limit directions.
Funding agency Grant number
Russian Science Foundation 22-21-00415
This work was supported by the Russian Science Foundation (grant no. 22-21-00415).
Received: 15.07.2021
Revised: 24.08.2021
Published: 24.12.2021
English version:
Mathematical Notes, 2022, Volume 111, Issue 1, Pages 3–6
DOI: https://doi.org/10.1134/S0001434622010011
Bibliographic databases:
Document Type: Article
UDC: 517.538.5
Language: Russian
Citation: P. A. Borodin, “Approximation by Simple Partial Fractions: Universal Sets of Poles”, Mat. Zametki, 111:1 (2022), 3–7; Math. Notes, 111:1 (2022), 3–6
Citation in format AMSBIB
\Bibitem{Bor22}
\by P.~A.~Borodin
\paper Approximation by Simple Partial Fractions: Universal Sets of Poles
\jour Mat. Zametki
\yr 2022
\vol 111
\issue 1
\pages 3--7
\mathnet{http://mi.mathnet.ru/mzm13223}
\crossref{https://doi.org/10.4213/mzm13223}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4360078}
\transl
\jour Math. Notes
\yr 2022
\vol 111
\issue 1
\pages 3--6
\crossref{https://doi.org/10.1134/S0001434622010011}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000760397500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85125433522}
Linking options:
  • https://www.mathnet.ru/eng/mzm13223
  • https://doi.org/10.4213/mzm13223
  • https://www.mathnet.ru/eng/mzm/v111/i1/p3
    • This publication is cited in the following 1 articles:
    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