On approximation of the rational functions, whose integral is single-valued on C, by differences of simplest fractions

On approximation of the rational functions, whose integral is single-valued on C, by differences of simplest fractions

We study a uniform approximation by differences Θ1 - Θ2 of simplest fractions (s.f.’s), i. e., by logarithmic derivatives of rational functions on continua K of the class Ωr, r > 0 (i. e., any points z0, z1 ∈ K can be joined by a rectifiable curve in K of length

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Veröffentlicht in:Issues of analysis 2018-09, Vol.25 (Special Issue), p.63-71
1. Verfasser: Komarov, M. A.
Format: Artikel
Sprache:eng
Schlagworte:
difference of simplest fractions
logarithmic derivative of rational function
rate of uniform approximation
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Zusammenfassung:We study a uniform approximation by differences Θ1 - Θ2 of simplest fractions (s.f.’s), i. e., by logarithmic derivatives of rational functions on continua K of the class Ωr, r > 0 (i. e., any points z0, z1 ∈ K can be joined by a rectifiable curve in K of length
ISSN:2306-3432
2306-3432
2306-3424
DOI:10.15393/j3.art.2018.5510