Asymptotic normality of the coefficients of polynomials associated with the Gegenbauer ones

[摘要] A suitable transformation on the classical Gegenbauer orthogonal polynomials leads to polynomials with nonnegative coefficients. Asymptotic normality of those coefficients is established and rate of convergence and asymptotic formulas are provided. As examples the number of matching sets of paths and polygons, respectively, are approximated. (C) 2001 Elsevier Science B.V. All rights reserved.

[发布日期] 2001-08-01

[效力级别]  Proceedings Paper

[关键词] Gegenbauer orthogonal polynomials;central and local limit theorems;matching sets and polynomials of paths and polygons