%A A. A. Pogorui
%J Complex Variables and Elliptic Equations
%T Hyperholomorphic functions on commutative algebras
%X 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.
%N 12
%K Hyperholomorphic function; Commutative algebra; Polynomial
%P 1155-1159
%V 52
%D 2010
%I Taylor & Francis
%L zu213405