International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 3, Pages 417-426
doi:10.1155/S0161171296000609
On the distributional orthogonality of the general Pollaczek polynomials
1Departamento 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 1 September 1994
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
A distributional representation of the moment functional of the general Pollaczek
polynomials is established. This representation holds for a wider range of parameters than the
representation by a positive measure.