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TitleMatrix representations of a special polynomial sequence in arbitrary dimension
Author(s)Cação, I.
Falcão, M. I.
Malonek, H. R.
KeywordsSpecial polynomial sequence
Monogenic function
Matrix representation
Issue date2012
PublisherHeldermann Verlag
JournalComputational Methods and Function Theory
Abstract(s)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 multiplicativity caused by the non-commutativity of the underlying algebra.
Publisher version
AccessOpen access
Appears in Collections:DMA - Artigos (Papers)

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