capacity

Let ϕ(z) = c z + c_0 + c_1 z^(-1) + c_2 z^(-2) + ... be an analytic function, regular and univalent for left bracketing bar z right bracketing bar >1, that maps left bracketing bar z right bracketing bar >1 conformally onto the region T preserving the point at infinity and its direction. Then the function ϕ(z) is uniquely determined and c is called the transfinite diameter, sometimes also known as Robin's constant or the capacity of ϕ(z).

analytic function | logarithmic capacity | regular function | univalent function