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Title: Matrix representations of a special polynomial sequence in arbitrary dimension
Author: Cação, Isabel
Falcão, Maria Irene
Malonek, Helmuth Robert
Keywords: Special polynomial sequence
Monogenic function
Matrix representation
Issue Date: Dec-2012
Publisher: Springer Verlag
Abstract: This paper provides an insight into different structures of a special polynomial sequence of binomial type in higher dimensions with values in a Clifford algebra. The elements of the special polynomial sequence are homogeneous hypercomplex differentiable (monogenic) functions of different degrees and their matrix representation allows to prove their recursive construction in analogy to the complex power functions. This property can somehow be considered as a compensation for the loss of ultiplicativity caused by the non-commutativity of the underlying algebra.
Peer review: yes
DOI: 10.1007/BF03321833
ISSN: 2195-3724
Appears in Collections:CIDMA - Artigos

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