%0 Journal Article
%T Representations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials
%A Valentyna Groza
%J Mathematics
%D 2005
%I arXiv
%R 10.3842/SIGMA.2005.016
%X We derive orthogonality relations for discrete q-ultraspherical polynomials and their duals by means of operators of representations of the quantum algebra su_q(1,1). Spectra and eigenfunctions of these operators are found explicitly. These eigenfunctions, when normalized, form an orthonormal basis in the representation space.
%U http://arxiv.org/abs/math/0511632v1