Fuss–Catalan Matrices, Their Weighted Sums, and Stabilizer Subgroups of the Riordan Group

Tian-Xiao He, Louis W. Shapiro

Research output: Journal ArticleArticlepeer-review


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.
Original languageAmerican English
JournalLinear Algebra and Its Applications
StatePublished - Nov 1 2017


  • Riordan group
  • Generating function
  • Fundamental theorem of Riordan arrays
  • Catalan numbers
  • Fuss–Catalan numbers
  • Fuss–Catalan matrices
  • Stabilizer


  • Applied Mathematics
  • Mathematics

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