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.
The polynomials are given in terms of basic hypergeometric functions by
q-Hahn polynomialsâ Quantum q-Krawtchouk polynomialsï¼Â
q-Hahn polynomialsâ Hahn polynomials
make the substitution, into definition of q-Hahn polynomials, and find the limit qâÂÂ1, we obtain