3nj-symbols and identities for q-Bessel functions

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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.
Original languageEnglish
Pages (from-to)317–337
Number of pages21
JournalThe Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanujan
Issue number2
Publication statusPublished - 2018


  • Jackson’s third q-Bessel function
  • 6j-symbols
  • 3nj-symbols
  • Multivariate q-Bessel function
  • Quantum algebra representations


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