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Holomorphic Functions in Generalized Cayley-Dickson Algebras

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Abstract

In this paper we investigated some properties of holomorphic functions (belonging to the kernel of the Dirac operator) defined on domains of the real Cayley-Dickson algebras. For this purpose, we study first some properties of these algebras, especially multiplication tables for certain elements of the basis. Using these properties, we provided an algorithm for constructing examples of the class of functions under consideration.

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Correspondence to Cristina Flaut.

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Flaut, C., Shpakivskyi, V. Holomorphic Functions in Generalized Cayley-Dickson Algebras. Adv. Appl. Clifford Algebras 25, 95–112 (2015). https://doi.org/10.1007/s00006-014-0479-8

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  • DOI: https://doi.org/10.1007/s00006-014-0479-8

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