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Escola Superior de Tecnologia e Gestão (ESTG) >
Artigos em Acta de Conferência Internacional (ESTG) >
Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10314/9023
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| Título: | Starting with the differential: Representation of monogenic functions by polynomials of non-monogenic variables |
| Autores: | Malonek, H. R.
Cação, I.
Falcão, M.I.
Tomaz, G. |
| Data: | 1-Sep-2023 |
| Editora: | AIP Publishing |
| Relatório da Série N.º: | 2849 |
| Resumo: | This paper deals with different power series expansions of generalized holomorphic (monogenic) functions in the setting
of Clifford Analysis. Our main concern are generalized Appell polynomials as a special class of monogenic polynomials which
have been introduced in 2006 by two of the authors using several monogenic hypercomplex variables. We clarify the reasons why a
particular pair of non-monogenic variables allows to obtain a power series expansion by those generalized Appell polynomials.
The approach is based on the differential of a function. Some other monogenic polynomials as well as applications are mentioned. |
| URI: | http://hdl.handle.net/10314/9023 |
| ISSN: | 978-0-7354-4589-5 |
| Aparece nas Colecções: | Artigos em Acta de Conferência Internacional (ESTG)
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Ficheiros deste Registo:
| Ficheiro |
Descrição |
Tamanho | Formato |
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| p1_ICNAAM2021(2023)-2.pdf | | 107Kb | Adobe PDF | Ver/Abrir | |
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