Development of representations of hyperbolic and trigonometric nonlinearities inside the system of generalized quaternions

• Date: 2016
• Main Authors: Kalinovsky, Ya. O., Boyarinova, U. E., Sinkova, T. V., Sukalo, A. S.
• Format: Article
• Language: Ukrainian
• Published: Інститут проблем реєстрації інформації НАН України 2016
• Subjects: hypercomplex number system; basis; hypercomplex functions; hyperbolic functions; trigonometric functions; generalized of the quaternions
• Online Access: http://drsp.ipri.kiev.ua/article/view/100342
• Journal Title: Data Recording, Storage & Processing

It is considered the process of mathematical modeling for representations of hyperbolic and trigonometric nonlinearities in hypercomplex number system of generalized quaternions by the method of associated system of differential equations. Some properties of the representations and their relationshi...