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On paravector valued homogeneous monogenic polynomials with binomial expansion

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Summary:The aim of this note is to study a set of paravector valued homogeneous monogenic polynomials that can be used for a construction of sequences of generalized Appell polynomials in the context of Clifford analysis. Therefore, we admit a general form of the vector part of the first degree polynomial in the Appell sequence. This approach is different from the one presented in recent papers on this subject. We show that in the case of paravector valued polynomials of three real variables, there exist essentially two different types of such polynomials together with two other trivial types of polynomials. The proof indicates a way of obtaining analogous results in the case of polynomials of more than three variables.
Main Authors:Malonek, H. R.
Other Authors:Falcão, M. I.
Subject:Clifford Analysis Generalized Appell polynomials generalized Appell polynomial
Year:2012
Country:Portugal
Document type:article
Access type:open access
Associated institution:Universidade do Minho
Language:English
Origin:RepositóriUM - Universidade do Minho

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