Matrix Representations of a Special Polynomial Sequence in Arbitrary Dimension

被引：0
|
作者：
Isabel Cação
Maria Irene Falcão
Helmuth R. Malonek
机构：
[1] University of Aveiro,Department of Mathematics, Center for Research and Development in Mathematics and Applications
[2] University of Minho,Department of Mathematics and Applications
来源：
Computational Methods and Function Theory | 2012年 / 12卷
关键词：
monogenic function; matrix representation; 47A56; 30G35; 33C50;
D O I：
暂无
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学科分类号：
摘要：
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 for their recursive construction in the same way as for 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.
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页码：371 / 391
页数：20
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