Generalized Riordan groups and operators on polynomials

Shaul Zemel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We present an approach to generalized Riordan arrays which is based on operations in one large group of lower triangular matrices. This allows for direct proofs of many properties of weighted Sheffer sequences, and shows that all the groups arising from different weights are isomorphic since they are conjugate. We also prove a result about the intersection of two generalized Riordan groups with different weights.

Original languageAmerican English
Pages (from-to)286-308
Number of pages23
JournalLinear Algebra and Its Applications
StatePublished - 1 Apr 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier Inc. All rights reserved.


  • Functionals on polynomials
  • Infinite matrices
  • Polynomial sequences
  • Riordan arrays


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