Abstract
Properties of the q-ultraspherical polynomials for q being a primitive root of unity, are derived using a formalism of the so q (3) algebra. The orthogonality condition for these polynomials provides a new class of trigonometric identities representing discrete finite-dimensional analogues of q-beta integrals of Ramanujan.
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Spiridonov, V., Zhedanov, A. q-Ultraspherical polynomials for q a root of unity. Letters in Mathematical Physics 37, 173–180 (1996). https://doi.org/10.1007/BF00416020
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DOI: https://doi.org/10.1007/BF00416020