Inversion Problems in theq-Hahn Tableau

If { Pn(x;q)}nis a family of polynomials belonging to the q -Hahn tableau then each polynomial of this family can be written as Pn(x;q) = ∑m = 0nDm(n) m(x) where m(x) stands for (x;q)morxm. In this paper we solve the corresponding inversion problem, i.e. we find the explicit expression for the coefficients Im(n) in the expansion n(x) = ∑m = 0nIm(n)Pm(x;q).