International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 2, Pages 229-242
doi:10.1155/S0161171296000336
Complex and distributional weights for sieved ultraspherical polynomials
1Department de Matemáticas y Estadística, Universidad Nacional de Colombia, Bogotá, Colombia
2Departamento de Matemáticas y Estadística, Universidad Nacional de Colombia, Universidad de los Andes, Bogotá, Colombia
Received 11 November 1992; Revised 5 May 1993
Copyright © 1996 Jairo A. Charris and Felix H. Soriano. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
Contour integral and distributional orthogonality of sieved ultraspherical polynomials are established for values of the parameters outside the natural range of orthogonality by positive measures on the real line. A general representation theorem for moment functionals is included.