@article{zu213405, volume = {52}, number = {12}, author = {A. A. Pogorui}, title = {Hyperholomorphic functions on commutative algebras}, publisher = {Taylor \& Francis}, journal = {Complex Variables and Elliptic Equations}, pages = {1155--1159}, year = {2010}, keywords = {Hyperholomorphic function; Commutative algebra; Polynomial}, url = {http://eprints.zu.edu.ua/13405/}, 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.} }