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

Jairo A. Charris1 and Felix H. Soriano2

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

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.