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

2016/11/17 by Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Kalinovsky, Yakiv O. +6
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic and Geometric Analysis #FOS: Mathematics #General Mathematics (math.GM) #math.GM

paper · pdf · doi:10.48550/arxiv.1611.06867

8 pages

arxiv created 2016/11/17 · openalex publication_date 2016/11/17 · arxiv updated 2016/11/22 · openalex created_date 2016/11/30 · openalex updated_date 2026/07/28

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.

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