3<Emphasis Type="Italic">nj</Emphasis>-symbols and identities for <Emphasis Type="Italic">q</Emphasis>-Bessel functions |
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Authors: | Wolter Groenevelt |
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Institution: | 1.Technische Universiteit Delft, DIAM,Delft,The Netherlands |
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Abstract: | The 6j-symbols for representations of the q-deformed algebra of polynomials on \(\mathrm {SU}(2)\) 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. |
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