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
Jairo A. Charris1
and Felix H. Soriano2
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
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.