General Mathematics

    

Dual-Complex Numbers and Their Holomorphic Functions

Authors: Farid Messelmi

The purpose of this paper is to contribute to development a general theory of dual-complex numbers. We start by de…ne the notion of dual- complex and their algebraic properties. In addition, we develop a simple mathematical method based on matrices, simplifying manipulation of dual-complex numbers. Inspired from complex analysis, we generalize the concept of holo- morphicity to dual-complex functions. Moreover, a general representation of holomorphic dual-complex functions has been obtained. Finally and as concrete examples, some usual complex functions have been generalized to the algebra of dual-complex numbers.

Comments: 11 Pages.

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Submission history

[v1] 2015-08-31 03:52:33

Unique-IP document downloads: 1360 times

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