Publicação
Generalized exponentials through Appell sets in $\mathbb{R}^{n+1}$ and Bessel functions
| Resumo: | 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 $\mathbb{R}^{n+1}$. |
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| Autores principais: | Falcão, M. I. |
| Outros Autores: | Malonek, H. R. |
| Assunto: | Appell sets Bessel functions Hypercomplex function theory |
| Ano: | 2007 |
| País: | Portugal |
| Tipo de documento: | comunicação em conferência |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| Resumo: | 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 $\mathbb{R}^{n+1}$. |
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