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.

Evlampia Athanailidou
Department of Mathematics, Aristotle Univ. of Thessaloniki, 54124 Thessaloniki, Greece.

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