Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2014; 29(3): 415-420

Printed July 1, 2014

https://doi.org/10.4134/CKMS.2014.29.3.415

Copyright © The Korean Mathematical Society.

Dirichlet problem for polynomials on the unit disk

Al$\dot{\text i}$ S$\dot{\text i}$nan Sert\"{o}z

Bilkent University

Abstract

We give explicit formulas, without using the Poisson integral, for the functions that are C-harmonic on the unit disk and restrict to a prescribed polynomial on the boundary.

Keywords: harmonic polynomials, Dirichlet problem

MSC numbers: Primary 31A25; Secondary 31A05

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