Title of article
Asymptotic normality of the coefficients of polynomials associated with the Gegenbauer ones
Author/Authors
Kyriakoussis، نويسنده , , A. and Vamvakari، نويسنده , , M.G.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
9
From page
455
To page
463
Abstract
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.
Keywords
Gegenbauer orthogonal polynomials , Matching sets and polynomials of paths and polygons , central and local limit theorems
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2001
Journal title
Journal of Computational and Applied Mathematics
Record number
1551482
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