Introduction. The object of this note is to present a short and simple proof of the following two theorems. Theorem 1. Suppose that C is a closed rectifiable Jordan curve in the complex l-plane and… (More)

An explicit expression in terms of these parameters is obtained for AP. The fact that the integral in (3) remains bounded for 0^p<l under the assumption that C has continuously turning tangents was… (More)

Many parts of the subject of the boundary behavior of conformal mappings can be subsumed under the general heading of asymptotic representations of the Riemann mapping function near a boundary point.… (More)