Pogorui, A. A.
(2010)
Hyperholomorphic functions on commutative algebras.
Complex Variables and Elliptic Equations, 52 (12).
с. 1155-1159.
Опис
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.
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