On the mean value property of harmonic and complex polynomials

DOI10.3792/PJAA.57.216zbMath0514.30018OpenAlexW1971491153MaRDI QIDQ1051117

Shigeru Haruki

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.216

zbMATH Keywords

harmonic polynomialhomogeneous polynomialmean value propertygeneralized polynomialKakutani-Nagumi-Walsh

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) General theory of functional equations and inequalities (39B05)

Related Items (4)

On certain generalizations of the Levi-Civita and Wilson functional equations ⋮ Characterization of polynomials as solutions of certain functional equations ⋮ Using Aichinger's equation to characterize polynomial functions ⋮ Polytopes and the mean value property

Cites Work

• Grundlegende Eigenschaften der polynomischen Operationen. Erste Mitteilung
• A mean value theorem for polynomials and harmonic polynomials

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