Author:
Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Dmitry V. Lande, Alina S. Sukalo

(Submitted on 17 Nov 2016)

Abstract:
The paper deals with the process of mathematical modeling representations of exponential and logarithmic functions hypercomplex number system of generalized quaternions via determining a linear differential equation with hypercomplex coefficients. Simulation is performed using symbolic computation system Maple. Some properties of these concepts and their relation to the exponential representations of specific non-commutative hypercomplex number systems of dimension four.