On an Equivalent Definition of the Transfinite Diameter


PHILIP DAVIS AND HENRY POLLAK Let (1) /(f) = af + a0 + ai/l + ■ ■ ■ , a > 0, map the exterior of the unit circle C onto the exterior of a simplyconnected domain B. It is part of a general theory (see e.g. [3]) that the quantity 1/a can be identified with the transfinite diameter of B. In particular, let Tn(z) be the polynomial of degree n with leading… (More)