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De-Moivre and Euler Formulae for Dual-Complex Numbers

De-Moivre and Euler Formulae for Dual-Complex Numbers

In this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples to illustrate the main results in this paper.