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Analytic extensions of functions of Cayley-Dickson variables. (English) Zbl 1451.30094

Summary: Analytic extensions and approximations of functions of Cayley-Dickson variables are investigated. The case of functions of complexified Cayley-Dickson variables is also encompassed. In particular, functions of octonion variables are studied.

MSC:

30G35 Functions of hypercomplex variables and generalized variables
17A05 Power-associative rings
17A30 Nonassociative algebras satisfying other identities
16W10 Rings with involution; Lie, Jordan and other nonassociative structures
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