1994/09/21 by Erik Koelink, Koelink, Erik
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials
paper · pdf · doi:10.48550/arxiv.math/9409231
openalex publication_date 1994/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An identity involving basic Bessel functions and Al-Salam--Chihara polynomials is proved for which we recover Graf's addition formula for the Bessel function as the base q tends to 1. The corresponding product formula is derived. Some known identities for Jackson's q-Bessel functions are obtained as limiting cases. As special cases we prove identities for q-Charlier polynomials.