Hyperholomorphic functions on commutative algebras
Complex Variables
2007-05-23 v1 Commutative Algebra
Abstract
In this paper we study properties of hyperholomorphic functions on commutative finite algebras. It is investigated the Cauchy-Riemann type conditions for hyperholomorphic functions. We prove that a hyperholomorphic function on a commutative finite algebra can be expanded in a Taylor series. We also present a technique for computing zeros of polynomials in some commutative algebras.
Cite
@article{arxiv.math/0611467,
title = {Hyperholomorphic functions on commutative algebras},
author = {Anatoliy A. Pogorui},
journal= {arXiv preprint arXiv:math/0611467},
year = {2007}
}
Comments
5 pages