Closed formula for the capacity of several aligned segments

DOI10.1134/S0081543817060050zbMath1387.31001arXiv1512.07154OpenAlexW3098502734MaRDI QIDQ1701880

O. A. Grigoriev, Andrei Borisovich Bogatyrev

Publication date: 27 February 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07154

zbMATH Keywords

capacityunion of segments on the line

Mathematics Subject Classification ID

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

Related Items (3)

Conformal mapping of rectangular heptagons. II ⋮ Fast and accurate computation of the logarithmic capacity of compact sets ⋮ On capacity computation for symmetric polygonal condensers

Cites Work

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• Elementary construction of Jenkins-Strebel differentials
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• Extremal Polynomials and Riemann Surfaces
• ASYMPTOTIC PROPERTIES OF POLYNOMIALS ORTHOGONAL ON A SYSTEM OF CONTOURS, AND PERIODIC MOTIONS OF TODA LATTICES
• Automorphic Orthogonal and Extremal Polynomials
• Conformal mapping of rectangular heptagons
• Numerical-analytical method for conformal mapping of polygons with six right angles
• The computation of capacity of planar condensers

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