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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
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.
Received: 15.07.2021 Revised: 24.08.2021
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
Linking options:
https://www.mathnet.ru/eng/mzm13223https://doi.org/10.4213/mzm13223 https://www.mathnet.ru/eng/mzm/v111/i1/p3
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Abstract page: | 400 | Full-text PDF : | 62 | References: | 65 | First page: | 31 |
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