It is well known  the relation between Clebsch-Gordan coefficient and Hahn polynomials in the uniform lattice x(s) = s.
q](1, 1) Clebsch-Gordan coefficients shows that each relation for q-Hahn polynomials has the corresponding partner among the properties of q-CGC and vice versa.
Clebsch-Gordan coefficients, discrete orthogonal polynomials (q-discrete orthogonal polynomials), Nikiforov-Uvarov approach, quantum groups and algebras
Based on this well known fact we investigate the relation between the Clebsch-Gordan coefficients -also known as 3 j symbols for the quantum algebras S[U.
24) constitutes an extension--in this case a q-analog--of the well known relation between the classical Hahn polynomials and Clebsch-Gordan coefficients.
q] (2) Clebsch-Gordan coefficients Two particular cases are immediately derived from (4.
Clebsch-Gordan coefficients and irreducible tensor operators, Sov.
2] denote the single particle spin and parity of the electrons, respectively, J is the total spin obtained by using the appropriate Clebsch-Gordan coefficients [2,10] and M denotes the magnetic quantum number of the total angular momentum,
In each quark configuration, spin and spatial angular momentum are coupled to a total single particle j-value and the Clebsch-Gordan coefficients determine the portion of spin-up and spin-down of the quark.