An Explicit Polynomial Expression for a q-Analogue of the 9- j Symbols
Canadian journal of mathematics, Tome 63 (2011) no. 1, pp. 200-221
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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.
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
Rahman, Mizan. An Explicit Polynomial Expression for a q-Analogue of the 9- j Symbols. Canadian journal of mathematics, Tome 63 (2011) no. 1, pp. 200-221. doi: 10.4153/CJM-2010-081-9
@article{10_4153_CJM_2010_081_9,
author = {Rahman, Mizan},
title = {An {Explicit} {Polynomial} {Expression} for a {q-Analogue} of the 9- j {Symbols}},
journal = {Canadian journal of mathematics},
pages = {200--221},
year = {2011},
volume = {63},
number = {1},
doi = {10.4153/CJM-2010-081-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-081-9/}
}
TY - JOUR AU - Rahman, Mizan TI - An Explicit Polynomial Expression for a q-Analogue of the 9- j Symbols JO - Canadian journal of mathematics PY - 2011 SP - 200 EP - 221 VL - 63 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2010-081-9/ DO - 10.4153/CJM-2010-081-9 ID - 10_4153_CJM_2010_081_9 ER -
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