Fuss–Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group

Fuss–Catalan matrices, their weighted sums, and stabilizer subgroups of the Riordan group

In this paper, we present the Riordan arrays called Fuss–Catalan matrices which are constructed by the convolutions of the generating functions of the Fuss–Catalan numbers. We also discuss weighted sums of the Fuss–Catalan matrices, using such matrices as transformations of recursive sequences, and...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Linear algebra and its applications 2017-11, Vol.532, p.25-42
Hauptverfasser: He, Tian-Xiao, Shapiro, Louis W.
Format: Artikel
Sprache:eng
Schlagworte:
Catalan numbers
Fundamental theorem of Riordan arrays
Fuss–Catalan matrices
Fuss–Catalan numbers
Generating function
Linear algebra
Matrix
Riordan group
Stabilizer
Subgroups
Sums
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we present the Riordan arrays called Fuss–Catalan matrices which are constructed by the convolutions of the generating functions of the Fuss–Catalan numbers. We also discuss weighted sums of the Fuss–Catalan matrices, using such matrices as transformations of recursive sequences, and their connection with stabilizer subgroups of the Riordan group.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2017.06.025