3nj-symbols and identities for q-Bessel functions

Journal article (2018)

Authors

W.G.M. Groenevelt Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2018 W.G.M. Groenevelt
DOI: https://doi.org/10.1007/s11139-017-9952-z
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Published Date

2018

Language

English

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

The 6j-symbols for representations of the q-deformed algebra of polynomials on SU(2) are given by Jackson’s third q-Bessel functions. This interpretation leads to several summation identities for the q-Bessel functions. Multivariate q-Bessel functions are defined, which are shown to be limit cases of multivariate Askey–Wilson polynomials. The multivariate q-Bessel functions occur as 3nj-symbols.