q-Classical polynomials and the q-Askey and Nikiforov–Uvarov tableaus

摘要

In this paper we continue the study of the q-classical (discrete) polynomials (in the Hahn's sense) started in Medem et al. (this issue, Comput. Appl. Math. 135 (2001) 157–196). Here we will compare our scheme with the well known q-Askey scheme and the Nikiforov–Uvarov tableau. Also, new families of q-polynomials are introduced.