English

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

Quantum Algebra 2018-02-07 v2

Abstract

The 6j6j-symbols for representations of the SU(2)\mathrm{SU}(2) quantum group are given by Hahn-Exton qq-Bessel functions. This interpretation leads to several summation identities for the qq-Bessel functions. Multivariate qq-Bessel functions are defined, which are shown to be limit cases of multivariate Askey-Wilson polynomials. The multivariate qq-Bessel functions occur as 3nj3nj-symbols.

Keywords

Cite

@article{arxiv.1612.09196,
  title  = {$3nj$-symbols and identities for $q$-Bessel functions},
  author = {Wolter Groenevelt},
  journal= {arXiv preprint arXiv:1612.09196},
  year   = {2018}
}

Comments

18 pages; v2 contains minor corrections