Geodesic
Asymptotic normality of coefficients of some polynomials related to Dowling lattices
Filomat, Tome 34 (2020) no. 9, p. 2915

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DOI

Recently, we introduced two sequences of polynomials (B n (x, y, z)) and (F n (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 B n (x, y, z) and F n (x, y, z). As applications, we obtain the asymptotic normality of coefficients of some polynomials related to Dowling lattices in a unified approach.
DOI : 10.2298/FIL2009915L
Classification : 05A16, 05A15, 11B73
Keywords: Asymptotic normality, Asymptotic formula, Dowling lattices 
Lily Li Liu; Yun Yang; Wen Zhang. Asymptotic normality of coefficients of some polynomials related to Dowling lattices. Filomat, Tome 34 (2020) no. 9, p. 2915 . doi: 10.2298/FIL2009915L
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     author = {Lily Li Liu and Yun Yang and Wen Zhang},
     title = {Asymptotic normality of coefficients of some polynomials related to {Dowling} lattices},
     journal = {Filomat},
     pages = {2915 },
     year = {2020},
     volume = {34},
     number = {9},
     doi = {10.2298/FIL2009915L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009915L/}
}
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