Affiliation:
1. School of Mathematical Sciences, Qufu Normal University, Qufu, PR China
Abstract
Recently, we introduced two sequences of polynomials (Bn(x, y, z)) and (Fn(x,
y, z)), which unify many familiar polynomials related to Dowling lattices,
such as the Bell polynomials, the Dowling polynomials, the ordered Bell
polynomials, the r-Bell polynomials and the r-Dowling polynomials. In this
paper, we show the asymptotic normality of coefficients of Bn(x, y, z) and
Fn(x, y, z). As applications, we obtain the asymptotic normality of
coefficients of some polynomials related to Dowling lattices in a unified
approach.
Publisher
National Library of Serbia
Cited by
2 articles.
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