Capacity of several aligned segments

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).

9 pages, 1 fig

References in corpus (1)

• Image of Abel-Jacobi map for hyperelliptic genus 3 and 4 curves

Cited by in corpus (1)

• Walsh's Conformal Map onto Lemniscatic Domains for Several Intervals