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arXiv · 2011.10673

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

Diego Dominici
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Abstract

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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Diego Dominici. 2020-11-20. Orthogonality of the Dickson polynomials of the (k+1)-th kind. https://arxiv.org/abs/2011.10673

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