Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel f...

• Autor(es): Falcão, M. I. ; Malonek, H. R.
• Data: 2007
• Identificador Persistente: http://hdl.handle.net/1822/29192
• Origem: RepositóriUM - Universidade do Minho
• Assunto(s): Appell sets; Bessel functions; Hypercomplex function theory
• Tipo de Documento: Documento de conferência
• Idioma: Inglês

Descrição

AIP conference proceedings, vol. 936 In this paper we present applications of a special class of homogeneous monogenic polynomials constructed, in the framework of hypercomplex function theory, in order to be an Appell set of polynomials. In particular, we derive important properties of an associated exponential function from $\mathbb{R}^3$ to $\mathbb{R}^3$ and propose a generalization to $\mathbb{R}^{n+1}$.