If we set in the definition (3.21.1) of the q-Laguerre polynomials and take the limit we obtain the Laguerre polynomials given by (1.11.1) :
If we set and (or ) in the definition (3.21.1) of the q-Laguerre polynomials, multiply by , and take the limit we obtain the Charlier polynomials given by (1.12.1) :