p-Trigonometric Approach to Elliptic Biquaternions

Abstract

In this paper, we obtain the p-trigonometric functions of an elliptical complex variable and express the elliptic biquaternions in the p-trigonometric form by means of these functions. Additionally, De-Moivre's and Euler formulas for elliptic biquaternions are expressed and the powers and roots of an elliptic biquaternion are obtained with the aid of these formulas.