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q-Ultraspherical polynomials forqa root of unity

โœ Scribed by Vyacheslav Spiridonov; Alexei Zhedanov

Publisher
Springer
Year
1996
Tongue
English
Weight
361 KB
Volume
37
Category
Article
ISSN
0377-9017

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โœฆ Synopsis

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 analogues of q-beta integrals of Ramanujan.

Mathematics Subject Classifications (1991). 17B37, 33D80.

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