The Sheffer Group and the Riordan Group

Tian-Xiao He, Peter J.S. Shiue, Leetsch C. Hsu

Research output: Journal ArticleArticlepeer-review


We define the Sheffer group of all Sheffer-type polynomials and prove the isomorphism between the Sheffer group and the Riordan group. An equivalence of the Riordan array pair and generalized Stirling number pair is also presented. Finally, we discuss a higher dimensional extension of Riordan array pairs.

Original languageAmerican English
JournalDiscrete Applied Math
StatePublished - 2007


  • Formal power series
  • Sheffer group
  • Sheffer-type polynomials
  • Sheffer-type differential operators
  • generalized weighted Stirling numbers
  • Riodan array
  • Riordan group.


  • Applied Mathematics
  • Mathematics

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