ar X iv : q - a lg / 9 60 50 33 v 1 2 1 M ay 1 99 6 CRM - 2278 March 1995 q - Ultraspherical Polynomials for q a Root of Unity
نویسندگان
چکیده
Properties of the q-ultraspherical polynomials for q being a primitive root of unity are derived using a formalism of the soq(3) algebra. The orthogonality condition for these polynomials provides a new class of trigonometric identities representing discrete finite-dimensional analogs of q-beta integrals of Ramanujan. Mathematics Subject Classifications (1991). 17B37, 33D80
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