Remarks on the generation of monogenic functions

• Autor(es): Cruz, J. F. ; Falcão, M. I. ; Malonek, H. R.
• Data: 2007
• Identificador Persistente: http://hdl.handle.net/1822/6002
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Clifford analysis; Monogenic function; Mapping problems
• Tipo de Documento: Documento de conferência
• Idioma: Inglês

Descrição

In this paper we consider three different methods for generating monogenic functions. The first one is related to Fueter's well known approach to the generation of monogenic quaternion-valued functions by means of holomorphic functions, the second one is based on the solution of hypercomplex differential equations and fnally the third one is a direct series approach, based on the use of special homogeneous polynomials. We illustrate the theory by generating three different exponential functions and discuss some of their properties.