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

• Diego Dominici ^[1]
  1. [1] Johannes Kepler University of Linz

     Johannes Kepler University of Linz

     Linz, Austria

     
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 62, Nº. 1, 2021, págs. 1-30
• Idioma: inglés
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• Resumen

  • 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.