Pogorui, A. A.
(2010)
Hyperholomorphic functions on commutative algebras.
Complex Variables and Elliptic Equations, 52 (12).
pp. 11551159.
Abstract
In this article, we study properties of hyperholomorphic functions on commutative
finitedimensional algebras. The Cauchy–Riemann type conditions for hyperholomorphic
functions is investigated. We prove that a hyperholomorphic function on a commutative finitedimensional
algebra can be expanded in a Taylor series. We also present a technique for
computing zeros of polynomials in commutative algebras.
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