IJPAM: Volume 15, No. 4 (2004)

DUAL EXPONENTIAL TRANSFORMATIONS
AND HIGH-ORDER DERIVATIVES

Vedat Asil
Department of Mathematics
Faculty of Art and Science
Firat University
23119 Elazig, TURKEY
e-mail: vasil@firat.edu.tr


Abstract.In this study, dual exponential transformations are defined using mapping $h:D \rightarrow M$, hence mapping can be given as a mapping from the $D$ dual number set to the $M$ matrices set corresponding. $h\ $is linear isomorphism. Finally high-order derivatives are given for this function.

Received: July 5, 2004

AMS Subject Classification: 53A25

Key Words and Phrases: dual numbers, dual vectors, dual function, exponential map, Laplace transformation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 15
Issue: 4