On Orthogonality Relations for Dual Discrete q-Ultraspherical Polynomials

The dual discrete $q$-ultraspherical polynomials $D_n^{(s)}(mu (x;s)|q)$ correspond to indeterminate moment problem and, therefore, have one-parameter family of extremal orthogonality relations. It is shown that special cases of dual discrete $q$-ultraspherical polynomials $D_n^{(s)}(mu (x;s)|q)$, w...

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Bibliographic Details
Main Authors: Valentyna A. Groza, Ivan I. Kachuryk
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-03-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper034/