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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)
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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
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
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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