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An Explicit Polynomial Expression for a q-Analogue of the 9- j Symbols
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- Journal:
- Canadian Journal of Mathematics / Volume 63 / Issue 1 / 01 February 2011
- Published online by Cambridge University Press:
- 20 November 2018, pp. 200-221
- Print publication:
- 01 February 2011
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- Article
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Using standard transformation and summation formulas for basic hypergeometric series we obtain an explicit polynomial form of the
$q$-analogue of the 
$\text{9-}\,j$ symbols, introduced by the author in a recent publication. We also consider a limiting case in which the $\text{9-}\,j$ symbol factors into two Hahn polynomials. The same factorization occurs in another limit case of the corresponding $q$-analogue.
