3nj-symbols and identities for q-Bessel functions

Journal Article (2018)
Author(s)

Wolter Groenevelt (TU Delft - Analysis)

Research Group
Analysis
Copyright
© 2018 W.G.M. Groenevelt
DOI related publication
https://doi.org/10.1007/s11139-017-9952-z
More Info
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Publication Year
2018
Language
English
Copyright
© 2018 W.G.M. Groenevelt
Research Group
Analysis
Issue number
2
Volume number
47
Pages (from-to)
317–337
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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.