Q-Hahn polynomials

In mathematics, the "q"-Hahn polynomials are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. give a detailed list of their properties.
Definition.
The polynomials are given in terms of basic hypergeometric functions by 
Relation to other polynomials.
q-Hahn polynomials→ Quantum q-Krawtchouk polynomials：
formula_2
q-Hahn polynomials→ Hahn polynomials
make the substitutionformula_3,formula_4 into definition of q-Hahn polynomials, and find the limit q→1, we obtain