A New Definition of Hypercomplex Analyticity

Mathematics – Complex Variables

Scientific paper

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9 pages, LaTex, 1991 Mathematics Subject Classifications: 11R52, 30G35, 46S20

Scientific paper

Complex analyticity is generalized to hypercomplex functions, quaternion or
octonion, in such a manner that it includes the standard complex definition and
does not reduce analytic functions to a trivial class. A brief comparison with
other definitions is presented.

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