relation: http://eprints.zu.edu.ua/13405/ title: Hyperholomorphic functions on commutative algebras creator: Pogorui, A. A. subject: Математичний аналіз description: 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. publisher: Taylor & Francis date: 2010 type: Стаття type: PeerReviewed format: text language: uk identifier: http://eprints.zu.edu.ua/13405/1/pogoruiComplexVar.pdf identifier: Pogorui, A. A. (2010) Hyperholomorphic functions on commutative algebras. Complex Variables and Elliptic Equations, 52 (12). с. 1155-1159. language: english