Features of representations of exponential functions in HNS of high dimensions by software of hypercomplex calculations

• Date: 2021
• Main Authors: Боярінова, Ю. Є., Каліновський, Я. О.
• Format: Article
• Language: Ukrainian
• Published: Інститут проблем реєстрації інформації НАН України 2021
• Subjects: hypercomplex number system (HNS); function representation; exponent; characteristic number; computer algebra systems; algebraic operation; Cayley table
• Online Access: http://drsp.ipri.kiev.ua/article/view/239191
• Journal Title: Data Recording, Storage & Processing

By one of the creators of hyper-complex numbers V. Hamilton was the first proposed a constructive definition of nonlinear transcendental functions from hypercomplex variables. In particular, the researcher proposed to define the exponential function of a quaternion variable as the sum of a power ser...