Asymptotic normality of the coefficients of polynomials related to the classical system orthogonal ones (Q1301838)

Suitable transformations on the classical system of orthogonal polynomials lead to polynomials with nonnegative coefficients. The authors have established asymptotic normality of those coefficients by a local limit theorem and their asymptotic formulas whereever possible. Applications include, important combinatorial numbers, as the number of connections of a telephone exchange, the coefficients of a rook polynomials, the coefficients of the card matching polynomials and others.