IJPAM: Volume 45, No. 2 (2008)

DE MOIVRE EXTENDED EQUATION FOR
OCTONIONS AND POWER SERIES

C.A. Pendeza$^1$, M.F. Borges$^2$, J.M. Machado$^3$, A.C. Oliveira$^4$
$^{1,2,3,4}$Department of Computing
UNESP - São Paulo State University
São José do Rio Preto, 15054-000, BRAZIL
$^1$e-mail: Crispen@ibilce.unesp.br
$^2$e-mail: Borges@ibilce.unesp.br
$^3$e-mail: Jmarcio@ibilce.unesp.br
$^4$e-mail: Anacaral@ibilce.unesp.br


Abstract.In this paper, we extend results obtained recently by two of us (Borges and Machado [#!1!#], [#!2!#], [#!3!#]) and establish an analog of the classical De Moivre relation for general octonions numbers, defining an octonionic exponential function.

Received: November 21, 2007

AMS Subject Classification: 30G99, 30E99

Key Words and Phrases: De Moivre relation, octonionic exponential function, power series

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 45
Issue: 2