Geodesic
Quantum algebras \(\text{SU}_q(2)\) and \(\text{SU}_q(1,1)\) associated with certain \(q\)-Hahn polynomials: a revisited approach
Electronic transactions on numerical analysis, Tome 24 (2006), pp. 24-44
This contribution deals with the connection of -Clebsch-Gordan coefficients ( -CGC) of the Wigner- " " Racah algebra for the quantum groups and with certain -Hahn polynomials. A comparative #%$'\(0)21 #\%$3(54768491 " analysis of the properties of these polynomials and and Clebsch-Gordan coefficients shows that @BAC$(0)21$ @AD(54769491 each relation for -Hahn polynomials has the corresponding partner among the properties of -CGC and vice versa.
Classification : 81R50, 33D45, 33C80, 1962
Keywords: clebsch-gordan coefficients, discrete orthogonal polynomials ( -discrete orthogonal polynomials), " nikiforov-uvarov approach, quantum groups and algebras 
@article{ETNA_2006__24__a9,
     author = {Arves\'u,  Jorge},
     title = {Quantum algebras {\(\text{SU}_q(2)\)} and {\(\text{SU}_q(1,1)\)} associated with certain {\(q\)-Hahn} polynomials: a revisited approach},
     journal = {Electronic transactions on numerical analysis},
     pages = {24--44},
     year = {2006},
     volume = {24},
     zbl = {1109.33026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__24__a9/}
}
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Arvesú,  Jorge. Quantum algebras \(\text{SU}_q(2)\) and \(\text{SU}_q(1,1)\) associated with certain \(q\)-Hahn polynomials: a revisited approach. Electronic transactions on numerical analysis, Tome 24 (2006), pp. 24-44. http://geodesic.mathdoc.fr/item/ETNA_2006__24__a9/