eprintid: 13405
rev_number: 15
eprint_status: archive
userid: 3588
dir: disk0/00/01/34/05
datestamp: 2014-10-28 08:18:46
lastmod: 2023-02-16 13:16:41
status_changed: 2014-10-28 08:18:46
type: article
metadata_visibility: show
title: Hyperholomorphic functions on commutative algebras
language: english
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.
keywords: Hyperholomorphic function; Commutative algebra; Polynomial
creators_name: Pogorui, A. A.
ispublished: pub
subjects: QA77
divisions: sch_man
full_text_status: public
date: 2010
date_type: published
publication: Complex Variables and Elliptic Equations
volume: 52
number: 12
publisher: Taylor & Francis
pagerange: 1155-1159
refereed: TRUE
citation:   Pogorui, A. A.  (2010) Hyperholomorphic functions on commutative algebras.  Complex Variables and Elliptic Equations, 52 (12).  с. 1155-1159.      
document_url: http://eprints.zu.edu.ua/13405/1/pogoruiComplexVar.pdf