3D-mappings by means of monogenic functions and their approximation

• Autor(es): Malonek, H. R. ; Falcão, M. I.
• Data: 2010
• Identificador Persistente: http://hdl.handle.net/1822/17070
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Cliford Analysis; Monogenic functions; 3D-mappings
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

We consider quasi-conformal 3D-mappings realized by hypercomplex di erentiable (monogenic) functions and their polynomial approximation. Main tools are the series development of monogenic functions in terms of hypercomplex variables and the generalization of L. V. Kantorovich's approach for approximating conformal mappings by powers of a small parameter. .