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

Authors

  • Diego Ernesto Dominici Johannes Kepler University Linz, Doktoratskolleg "Computational Mathematics", Altenberger Straße 69, 4040 Linz, Austria

DOI:

https://doi.org/10.33044/revuma.v62n1a01

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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Published

2021-02-28

Issue

Vol. 62 No. 1 (2021)

Section

Article

License

Copyright (c) 2021 Diego Ernesto Dominici

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