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ANALYTIC FUNCTIONS OF COMPLEX MATRICES
Author(s) : M. A. Abul-Dahab and Z. M. Kishka
Pages : [105] - [130]
Received : October 19, 2014
Pages : [105] - [130]
Received : October 19, 2014
Abstract
The purpose of this paper is to introduce and establish some properties of analytic functions of square complex matrices such as Cauchy-Riemann equations. Besides, we discuss matrix real integration, complex integration, and Cauchy integral formula for these functions and for functions of several square commutative complex matrices.
Keywords
complex variables, Cauchy-Riemann equations, Cauchy integral formula, matrix functional calculus.