Geodesic
Approximation by Simple Partial Fractions: Universal Sets of Poles
Matematičeskie zametki, Tome 111 (2022) no. 1, pp. 3-7

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : simple partial fractions, limit directions. 
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     author = {P. A. Borodin},
     title = {Approximation by {Simple} {Partial} {Fractions:} {Universal} {Sets} of {Poles}},
     journal = {Matemati\v{c}eskie zametki},
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     publisher = {mathdoc},
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     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_1_a0/}
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P. A. Borodin. Approximation by Simple Partial Fractions: Universal Sets of Poles. Matematičeskie zametki, Tome 111 (2022) no. 1, pp. 3-7. http://geodesic.mathdoc.fr/item/MZM_2022_111_1_a0/