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TitleThree-term recurrence relations for systems of Clifford algebra-valued orthogonal polynomials
Author(s)Cação, I.
Falcão, M. I.
Malonek, H.
KeywordsClifford Analysis
generalized Appell polynomials
recurrence relations
Issue dateMar-2017
PublisherSpringer Verlag
JournalAdvances in Applied Clifford Algebras
Abstract(s)Recently, systems of Clifford algebra-valued orthogonal polynomials have been studied from different points of view. We prove in this paper that for their building blocks there exist some three-term recurrence relations, similar to that for orthogonal polynomials of one real variable. As a surprising byproduct of own interest we found out that the whole construction process of Clifford algebra-valued orthogonal polynomials via Gelfand-Tsetlin basis or otherwise relies only on one and the same basic Appell sequence of polynomials.
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AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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