Dirichlet problem for polynomials on the unit disk
Commun. Korean Math. Soc. 2014 Vol. 29, No. 3, 415-420
Printed July 1, 2014
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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