Inversion Problems in theq-Hahn Tableau

Abstract

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)mor xm. 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). © 1999 Academic Press.