The Sheffer group and the Riordan group

Authors:
Tian-Xiao He;Leetsch C. Hsu;Peter J. -S. Shiue
Affiliations:
Department of Mathematics and Computer Science, Illinois Wesleyan University, Bloomington, IL 61702 2900, USA;Department of Mathematics, Dalian University of Technology, Dalian 116024, PR China;Department of Mathematical Sciences, University of Nevada, Las Vegas, NV 89154 4020, USA
Venue:
Discrete Applied Mathematics
Year:
2007

Citing 6
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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.