2018/04/13 by Paul Barry, Barry, Paul
Mathematics · #11B83 #11C20 #14N10 #15B05 #15B36 #42C-5 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Secondary 33C45
paper · doi:10.48550/arxiv.1804.05027
openalex publication_date 2018/04/13 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
We define and characterize the γ-matrix associated to Pascal-like matrices that are defined by ordinary and exponential Riordan arrays. We also define and characterize the γ-matrix of the reversions of these triangles, in the case of ordinary Riordan arrays. We are led to the γ-matrices of a one-parameter family of generalized Narayana triangles. Thus these matrices generalize the matrix of γ-vectors of the associahedron. The principal tools used are the bivariate generating functions of the triangles and Jacobi continued fractions.