TY - JOUR ID - zu213405 UR - http://eprints.zu.edu.ua/13405/ IS - 12 A1 - Pogorui, A. A. Y1 - 2010/// N2 - 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. PB - Taylor & Francis JF - Complex Variables and Elliptic Equations VL - 52 KW - Hyperholomorphic function; Commutative algebra; Polynomial TI - Hyperholomorphic functions on commutative algebras SP - 1155 AV - public EP - 1159 ER -