Addition formulas for q-special functions

1995/06/15 by Koelink, Erik
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.math/9506216

Abstract

A general addition formula for a two-parameter family of Askey-Wilson polynomials is derived from the quantum SU(2) group theoretic interpretation. This formula contains most of the previously known addition formulas for q-Legendre polynomials as special or limiting cases. A survey of the literature on addition formulas for q-special functions using quantum groups and quantum algebras is given.

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