Resumen de Orthogonality of the dickson polynomials of the (k+1)-th kind

Diego Dominici

• 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 Lk. We find an integral representation for Lk and compute explicit expressions for all of its moments.