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arXiv · 1612.09196

$3nj$-symbols and identities for $q$-Bessel functions

Wolter Groenevelt
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Abstract

The $6j$-symbols for representations of the $\mathrm{SU}(2)$ quantum group are given by Hahn-Exton $q$-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.

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Wolter Groenevelt. 2017-01-09. $3nj$-symbols and identities for $q$-Bessel functions. https://doi.org/10.1007/s11139-017-9952-z

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