Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/29191

TítuloSpecial monogenic polynomials - properties and applications
Autor(es)Malonek, H. R.
Falcão, M. I.
Palavras-chaveHomogeneous monogenic polynomials
Quaternions
Appell sets
Data2007
EditoraAIP Publishing
RevistaAIP Conference Proceedings
Resumo(s)In Clifford Analysis several different methods have been developed for constructing monogenic functions as series with respect to properly chosen homogeneous monogenic polynomials. Almost all these methods rely on sets of orthogonal polynomials with their origin in classical (real) Harmonic Analysis in order to obtain the desired basis of homogeneous polynomials. We use a direct and elementary approach to this problem and construct a set of homogeneous polynomials involving only products of a hypercomplex variable and its hypercomplex conjugate. The obtained set is an Appell set of monogenic polynomials with respect to the hypercomplex derivative. Its intrinsic properties and some applications are presented.
TipoconferencePaper
DescriçãoAIP conference proceedings, vol. 936
URIhttp://hdl.handle.net/1822/29191
ISBN978-0-7354-0447-2
DOI10.1063/1.2790265
ISSN0094-243X
Versão da editorahttp://dx.doi.org/10.1063/1.2790265
Arbitragem científicayes
AcessoopenAccess
Aparece nas coleções:DMA - Livros de atas

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