English

Capacity of several aligned segments

Complex Variables 2017-11-23 v1

Abstract

In this note we present a universal formula in terms of theta functions for the Log- capacity of several segments on a line. The case of two segments was studied by N.I.Akhiezer (1930); three segments were considered by A.Sebbar and T.Falliero (2001).

Cite

@article{arxiv.1512.07154,
  title  = {Capacity of several aligned segments},
  author = {Andrei B. Bogatyrev and Oleg A. Grigoriev},
  journal= {arXiv preprint arXiv:1512.07154},
  year   = {2017}
}

Comments

9 pages, 1 fig

R2 v1 2026-06-22T12:16:01.612Z