Hyperholomorphic functions on commutative algebras

Details Hyperholomorphic functions on commutative algebras Hyperholomorphic functions on commutative algebras

2006-11-15

arxiv.org/abs/math/0611467v1

Mathematics

Complex Variables

5 pages

Scientific paper

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.

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