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The Sheffer Group and the Riordan Group
Discrete Applied Math (2007)
  • Tian-Xiao He, Illinois Wesleyan University
  • Peter J.S. Shiue, University of Nevada
  • Leetsch C. Hsu, Dalian University of Technology
Abstract

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.

Keywords
  • Formal power series,
  • Sheffer group,
  • Sheffer-type polynomials,
  • Sheffer-type differential operators,
  • generalized weighted Stirling numbers,
  • Riodan array,
  • Riordan group.
Publication Date
2007
Publisher Statement
<Discrete Applied Mathematics is published by Elsevier, http://www.journals.elsevier.com/discrete-applied-mathematics/.
Citation Information
Tian-Xiao He, Peter J.S. Shiue and Leetsch C. Hsu. "The Sheffer Group and the Riordan Group" Discrete Applied Math Vol. 155 (2007)
Available at: http://works.bepress.com/tian_xiao_he/1/