Article
Fuss–Catalan Matrices, Their Weighted Sums, and Stabilizer Subgroups of the Riordan Group
Linear Algebra and its Applications
(2017)
Abstract
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.
Keywords
- Riordan group,
- Generating function,
- Fundamental theorem of Riordan arrays,
- Catalan numbers,
- Fuss–Catalan numbers,
- Fuss–Catalan matrices,
- Stabilizer
Disciplines
Publication Date
Winter November 1, 2017
DOI
https://doi.org/10.1016/j.laa.2017.06.025
Publisher Statement
Linear Algebra and its Applications is affiliated with the International Linear Algebra Society (ILAS), and published by Elsevier. For more information on this journal please visit https://www.journals.elsevier.com/linear-algebra-and-its-applications.
Citation Information
Tian-Xiao He and Louis W. Shapiro. "Fuss–Catalan Matrices, Their Weighted Sums, and Stabilizer Subgroups of the Riordan Group" Linear Algebra and its Applications Vol. 532 (2017) p. 25 - 42 ISSN: 0024-3795 Available at: http://works.bepress.com/tian_xiao_he/104/