Approximation to constant functions by electrostatic fields due to electrons and positrons

DOI10.1134/S1995080219010104zbMath1422.30057OpenAlexW2936525886WikidataQ128119760 ScholiaQ128119760MaRDI QIDQ2003105

M. A. Komarov

Publication date: 15 July 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080219010104

zbMATH Keywords

approximationconstant electrostatic fieldlogarithmic derivatives of rational functions

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items (1)

Note on power sums of the zeros of certain Laguerre and Bessel polynomials

Cites Work

• Chebyshev's alternance in the approximation of constants by simple partial fractions
• Best approximation rate of constants by simple partial fractions and Chebyshev alternance
• Optimal relative error rational approximations to \(e^ x\)
• On the conjecture of Meinardus on rational approximation of \(e^ x\), II
• The asymptotic accuracy of rational best approximations to \(e^ z\) on a disk
• Order of approximation by electrostatic fields due to electrons
• Approximation by simple fractions
• Approximation properties of the most simple fractions
• An example of non-uniqueness of a simple partial fraction of the best uniform approximation
• Asymptotically neutral distributions of electrons and polynomial approximation
• Approximation by simple partial fractions with constraints on the poles. II
• Convergence of simple partial fractions in $ L_p(\mathbb R)$
• Approximation by simple partial fractions and the Hilbert transform
• On Approximation in the Bers Spaces
• A criterion for the best uniform approximation by simple partial fractions in terms of alternance. II
• Approximation by special differences of simplest fractions
• Bounded Approximation by Polynomials whose Zeros Lie on a Circle

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