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

• Author(s): Falcão, M. I. ; Malonek, H. R.
• Date: 2007
• Persistent ID: http://hdl.handle.net/1822/29192
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Appell sets; Bessel functions; Hypercomplex function theory
• Document Type: Conference Object
• Language: English

Description

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 $\mathbb{R}^{n+1}$.