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

Yakiv O. Kalinovsky; Yuliya E. Boyarinova; Dmitry V. Lande; Alina S. Sukalo

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arXiv · 1611.06867

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

Yakiv O. Kalinovsky·Yuliya E. Boyarinova·Dmitry V. Lande·Alina S. Sukalo

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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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Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Dmitry V. Lande, Alina S. Sukalo. 2016-11-17. Computer modeling of exponential and logarithmic functions of generalized quaternions in symbolic computation system. https://arxiv.org/abs/1611.06867

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