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harmonic function

   Also found in: Wikipedia 0.01 sec.
harmonic function [här′män·ik ′fəŋk·shən]
(mathematics)
A function of two real variables which is a solution of Laplace's equation in two variables.
A function of three real variables which is a solution of Laplace's equation in three variables.


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Kilic [3] considered the special case of multiplication of the Berezin transforms on certain functional Hilbert spaces, The author (joint with Seddighi) [8] considered the multiplication and commutativity of Berezin transform of the harmonic functions and in this paper we discuss these matters for the Berezin transform of the pluriharmonic functions.
Students who have played numerous sonatinas may not fully understand the harmonic function of the exposition, development and recapitulation until they are asked to compose their own.
Chapters cover the complex plane, complex line integrals, applications of the Cauchy theory, Laurent series, the argument principle, the geometric theory, harmonic functions, infinite series and products, and analytic continuation.
 
 
 
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