Matrix representation of real and hypercomplex Appell polynomials

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 polynomi...

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Detalhes bibliográficos
Autor principal: Tomaz, Graça (author)
Outros Autores: Malonek, H. R. (author)
Formato: conferenceObject
Idioma:eng
Publicado em: 2016
Assuntos:
Texto completo:http://hdl.handle.net/10314/3244
País:Portugal
Oai:oai:bdigital.ipg.pt:10314/3244
Descrição
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.