Some polynomials related to Dowling lattices and x-Stieltjes moment sequences

Some polynomials related to Dowling lattices and x-Stieltjes moment sequences

In this paper, we first introduce two sequences of polynomials, which unify many well-known polynomials related to Dowling lattices, including the Bell polynomials and the Dowling polynomials. Then we show the x-Stieltjes moment property of these polynomial sequences by their continued fractions and...

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Veröffentlicht in:Linear algebra and its applications 2017-11, Vol.533, p.195-209
Hauptverfasser: Liu, Lily Li, Ma, Dan
Format: Artikel
Sprache:eng
Schlagworte:
Combinatorial analysis
Continued fraction
Dowling lattice
Fractions
Lattice theory
Lattices (mathematics)
Linear algebra
Polynomials
x-Stieltjes moment sequence
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Beschreibung
Zusammenfassung:In this paper, we first introduce two sequences of polynomials, which unify many well-known polynomials related to Dowling lattices, including the Bell polynomials and the Dowling polynomials. Then we show the x-Stieltjes moment property of these polynomial sequences by their continued fractions and a criterion based on Sokal, Wang and Zhu independently.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2017.07.023