Study on Harmonic Function Theory and One Radius Theorem

Authors

  • 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.

DOI:

https://doi.org/10.9734/bpi/ramrcs/v6/14381D

Keywords:

Harmonic and analytical functions, one radius theorem, mean value theorem, Laplace equation

Abstract

The present paper deals with the study of harmonic and analytical functions. It deals with well-known and powerful theorems of the Complex Analysis and has as its central theme the One-Radius Theorem, somehow reversing the Mean Value theorem of harmonic functions. These considerations are set out in Mark A. Pinsky’s article [Mean Values and the Maximum Principle: A Proof in Search of More Theorems].

Published

2022-01-01

How to Cite

Dimitra Alexiou, & Evlampia Athanailidou. (2022). Study on Harmonic Function Theory and One Radius Theorem. Recent Advances in Mathematical Research and Computer Science Vol. 6, 22–28. https://doi.org/10.9734/bpi/ramrcs/v6/14381D

Issue

Recent Advances in Mathematical Research and Computer Science Vol. 6

Section

Chapters