Geometrical logarithmic and trigonometric hypercomplex functions of quaternionic type
Nenhuma Miniatura disponível
Data
2011-03-01
Autores
Borges, M. F. [UNESP]
Coelho, J.
Marão, J. A.
Título da Revista
ISSN da Revista
Título de Volume
Editor
Resumo
Quaternionic theory has greatly been developed in recent years [1-12]. Thus, in our view, the study of trigonometric and logarithmic type quaternionic functions is important for the determination and realization of a hyper complex theory. In this paper, we intend to give a geometrical foundation for both logarithmic and trigonometric hyper complex functions based on the exponential function of quaternionic type recently introduced by Borges, Marão and Machado in their paper entitled Geometrical octonions II: Hyper regularity and hyper periodicity of the exponential function appearing. © 2011 Pushpa Publishing House.
Descrição
Palavras-chave
Cauchy integral, Hyper complex, Quaternions
Como citar
Far East Journal of Mathematical Sciences, v. 50, n. 1, p. 45-53, 2011.