De-moivre formula for dual-hyperbolic numbers

This thesis consists of four chapters. The first chapter is the introduction. In the second part complex, hyperbolic and dual numbers are introduced. The third part is the original part of the thesis. The original part of the thesis is organized in five sub-sections. In the fırst chapter, algebraic strutures of dual-hyperbolic numbers are introduced and trigonometric values are given. Then the exponential representation of the dual-hyperbolic numbers is derived and the Euler formula is given. Finally, logarithmic and matrix representations of dual-hyperbolic numbers are given. In the fourth chapter of this thesis, the general evaluation of the study is given and a suggestion is proposed for further investigations.