Maple tools for modified quaternionic analysis

• Autor(es): Falcão, M. I. ; Malonek, H. R. ; Silva, A. M.
• Data: 2007
• Identificador Persistente: http://hdl.handle.net/1822/6006
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Modified quaternionic analysis; Maple software
• Tipo de Documento: Documento de conferência
• Idioma: Inglês

Descrição

Since 1992 H. Leutwiler, S. L. Eriksson and others developed in a number of papers a modified Clifford analysis and, particularly, a modified quaternionic analysis. The modification mainly consists in considering generalized Cauchy-Riemann equations with respect to a hyperbolic metric in a half space. The aim of this paper is to show how through a change of the basic combinatorial relations used in the modified quaternionic analysis a special Maplesoftware that has been developed for the case of the Euclidean metric can directly be used for numerical calculations in the modified theory.