An Explicit Polynomial Expression for a q-Analogue of the 9- j Symbols

Rahman, Mizan

Canadian journal of mathematics, Tome 63 (2011) no. 1, pp. 200-221

Résumé

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.

Détail

DOI : 10.4153/CJM-2010-081-9

Mots-clés : 33D45, 33D50, 6-j and 9-j symbols, q-analogues, balanced and very-well-poised basic hypergeometric series, orthonormal polynomials in one and two variables, Racah and q-Racah polynomials and their extensions

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