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

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 s...

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Bibliographic Details
Published in:arXiv.org 2016-11
Main Authors: Kalinovsky, Yakiv O, Boyarinova, Yuliya E, Lande, Dmitry V, Sukalo, Alina S
Format: Article
Language:English
Subjects:
Computation
Computer simulation
Differential equations
Mathematical models
Number systems
Quaternions
Representations
Online Access:Get full text
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Summary: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.
ISSN:2331-8422