Hyperholomorphic functions on commutative algebras

Pogorui, A. A. (2010) Hyperholomorphic functions on commutative algebras. Complex Variables and Elliptic Equations, 52 (12). pp. 1155-1159.

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Abstract

In this article, we study properties of hyperholomorphic functions on commutative finite-dimensional 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.

Item Type:	Article
Uncontrolled Keywords:	Hyperholomorphic function; Commutative algebra; Polynomial
Subjects:	Q Science > QA Mathematics > Mathematical Analysis
Divisions:	Faculty of Physics and Mathematics > Department of Mathematical Analysis, Business Analysis and Statistics
Depositing User:	Ірина Ігорівна Таргонська
Date Deposited:	28 Oct 2014 08:18
Last Modified:	16 Feb 2023 13:16
URI:	http://eprints.zu.edu.ua/id/eprint/13405

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