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Hyperholomorphic functions on commutative algebras | Anatoliy A. Pogorui
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15 Nov 2006 | Subject: | Complex Variables; Commutative Algebra | Abstract: | 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. | Source: | arXiv, math/0611467 | Services: | Forum | Review | PDF | Favorites |
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