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.
|Number of pages||21|
|Journal||The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanujan|
|Publication status||Published - 2018|
- Jackson’s third q-Bessel function
- Multivariate q-Bessel function
- Quantum algebra representations