A New Definition of Hypercomplex Analyticity
arXiv:funct-an/9701004
Abstract
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.
9 pages, LaTex, 1991 Mathematics Subject Classifications: 11R52, 30G35, 46S20
Cited by in corpus (7)
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- Hyperbolic complex numbers in two dimensions
- Commutative complex numbers in four dimensions
- Complex numbers in three dimensions
- Planar complex numbers in even n dimensions
- Polar complex numbers in n dimensions
- Exponential forms and path integrals for complex numbers in n dimensions