第(k+1)类的Dickson多项式的正交性

arXiv: Classical Analysis and ODEs Pub Date : 2020-11-20 DOI:10.33044/REVUMA.V62N1A01

D. Dominici

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引用次数: 3

摘要

研究了复数域上的(k+1)-第一类Dickson多项式。我们证明了它们是关于拟定矩泛函L_{k}的一组共递归正交多项式。我们找到L_{k}的积分表示，并计算其所有矩的显式表达式。

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Orthogonality of the Dickson polynomials of the $(k+1)$-th kind

We study the Dickson polynomials of the (k+1)-th kind over the field of complex numbers. We show that they are a family of co-recursive orthogonal polynomials with respect to a quasi-definite moment functional L_{k}. We find an integral representation for L_{k} and compute explicit expressions for all of its moments.

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来源期刊

arXiv: Classical Analysis and ODEs

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