1995/09/19 by Paul G. A. Floris, Floris, Paul G. A., Erik Koelink +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.math/9509222
openalex publication_date 1995/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.