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http://hdl.handle.net/10314/3244
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Título: | Matrix representation of real and hypercomplex Appell polynomials |
Autores: | Tomaz, Graça Malonek, H. R. |
Palavras Chave: | Creation matrix Generating function Matrix representation of Appell polynomials Hypercomplex appell polynomials |
Data: | Jun-2015 |
Resumo: | In a unfied approach to the matrix representation of di erent types of real Appell polynomials was developed, based on a special matrix which has only the natural numbers as entries. This matrix, also called creation matrix, generates the Pascal matrix and allows to consider a set of Appell polynomials as solution of a rst order vector di erential equation with certain initial conditions. Besides a new elementary construction of the monogenic exponential function studied in, we analogously derive examples of di erent sets of non-homogenous hypercomplex Appell polynomials given by its matrix representation. |
URI: | http://hdl.handle.net/10314/3244 |
Aparece nas Colecções: | Artigos em Acta de Conferência Internacional (ESTG)
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Ficheiros deste Registo:
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Ata Cientifica_graçatomaz.pdf | | 139Kb | Adobe PDF | Ver/Abrir | |
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