Approximation to Constant Functions by Electrostatic Fields due to Electrons and Positrons
- 作者: Komarov M.1
-
隶属关系:
- Department of Functional Analysis and Its Applications
- 期: 卷 40, 编号 1 (2019)
- 页面: 79-84
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203796
- DOI: https://doi.org/10.1134/S1995080219010104
- ID: 203796
如何引用文章
详细
We study a uniform approximation to constant functions f(z) = const on compact subsets K of complex plane by logarithmic derivatives of rational functions with free poles. This problem can be treated in terms of electrostatics: we construct on K the constant electrostatic field due to electrons and positrons at points ∉ K. If K is a disk or an interval, we get the approximation, which close to the best. Also we get the new identity for generalized Laguerre polynomials. Our results related to the classical problem of rational approximation to the exponential function.
作者简介
M. Komarov
Department of Functional Analysis and Its Applications
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Email: kami9@yandex.ru
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