A commuting q-analogue of the addition formula for disk polynomials

Details A commuting q-analogue of the addition formula for disk polynomials A commuting q-analogue of the addition formula for disk polynomials

1995-09-19

arxiv.org/abs/math/9509222v1

Mathematics

Quantum Algebra

Scientific paper

Starting from the addition formula for $q$-disk polynomials, which is an identity in non-commuting variables, we establish a basic analogue in commuting variables of the addition and product formula for disk polynomials. These contain as limiting cases the addition and product formula for little $q$-Legendre polynomials. As $q$ tends to $1$ the addition and product formula for disk polynomials are recovered.

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