English

Computer modeling of exponential and logarithmic functions of generalized quaternions in symbolic computation system

General Mathematics 2016-11-22 v1

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.

Keywords

Cite

@article{arxiv.1611.06867,
  title  = {Computer modeling of exponential and logarithmic functions of generalized quaternions in symbolic computation system},
  author = {Yakiv O. Kalinovsky and Yuliya E. Boyarinova and Dmitry V. Lande and Alina S. Sukalo},
  journal= {arXiv preprint arXiv:1611.06867},
  year   = {2016}
}

Comments

8 pages