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Orthogonality of the Dickson polynomials of the $(k+1)$-th kind
Volume 62, no. 1
(2021),
pp. 1–30
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 by the Unión Matemática Argentina |
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