The purpose of this work is to investigate harmonic and analytical functions. It deals with well-known and powerful theorems of Complex Analysis, with the One-Radius Theorem as its core focus, reversing the Mean Value Theorem of harmonic functions in several ways. Mark A. Pinsky’s article [Mean Values and the Maximum Principle: A Proof in Search of More Theorems] lays forth these points.

Author(S) Details

Dimitra Alexiou Department of Spatial Planning and Development, School of Engineering, Aristotle Univ. of Thessaloniki, 54124 Thessaloniki, Greece.