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math.CV2006★ 1 cited
Transfinite diameter and the resultant
Laura DeMarco, Robert Rumely
We prove a formula for the Fekete-Leja transfinite diameter of the pullback of a set E in C^N by a regular polynomial map F, expressing it in terms of the resultant of the leading…
math.CV2005★ 1 cited
A Robin formula for the Fekete-Leja transfinite diameter
Robert Rumely
This note gives a higher-dimensional generalization of the classical formula cap(K) = exp(-V(E)) expressing the logarithmic capacity in terms of the residue at infinity of its Gree…