The logarithmic energy of zeros and poles of a rational function

DOI10.1134/S0037446616060057zbMath1361.31003OpenAlexW2567023256MaRDI QIDQ515486

V. N. Dubinin

Publication date: 16 March 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616060057

zbMATH Keywords

rational functionslemniscatelogarithmic energyZolotarev fraction

Mathematics Subject Classification ID

Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (4)

Unnamed Item ⋮ Some Unsolved Problems About Condenser Capacities on the Plane ⋮ Lemniscate zone and distortion theorems for multivalent functions. II ⋮ Lemniscate zone and distortion theorems for multivalent functions

Cites Work

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• On one extremal problem for complex polynomials with constraints on critical values
• How many Zolotarëv fractions are there?
• Chebyshev representation for rational functions
• Condenser Capacities and Symmetrization in Geometric Function Theory
• Circular symmetrization of condensers on Riemann surfaces
• The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere
• The reduced module of the complex sphere

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