Representations of the Quantum Algebra su_q(1,1) and Discrete q-Ultraspherical Polynomials
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...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2005-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://www.emis.de/journals/SIGMA/2005/Paper016/ |