Addition formulas for q-special functions

Details Addition formulas for q-special functions Addition formulas for q-special functions

1995-06-15

arxiv.org/abs/math/9506216v1

Mathematics

Quantum Algebra

Scientific paper

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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