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https://hdl.handle.net/1822/6002| Título: | Remarks on the generation of monogenic functions |
| Autor(es): | Cruz, J. F. Falcão, M. I. Malonek, H. R. |
| Palavras-chave: | Clifford analysis Monogenic function Mapping problems |
| Data: | 12-Jan-2007 |
| Citação: | GURLEBECK, K. ; KONKE, C., ed. lit. - International Conference on the Applications of Computer Science and Mathematics in Architecture and Civil Engineering, 17, Weimar, 2006 “. [S.l. : s.n. 2006]. |
| Resumo(s): | 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. |
| Tipo: | Artigo em ata de conferência |
| URI: | https://hdl.handle.net/1822/6002 |
| Arbitragem científica: | yes |
| Acesso: | Acesso aberto |
| Aparece nas coleções: |
