The Sheffer Group and the Riordan Group

Authors

Tian-Xiao He, Illinois Wesleyan UniversityFollow
Peter Shiue, University of Nevada
Leetsch Hsu, Dalian University of Technology

Publication Date

January 2007

Comments

<Discrete Applied Mathematics is published by Elsevier, http://www.journals.elsevier.com/discrete-applied-mathematics/.

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.

Disciplines

Applied Mathematics | Mathematics

Recommended Citation

He, Tian-Xiao; Shiue, Peter; and Hsu, Leetsch, "The Sheffer Group and the Riordan Group" (2007). Scholarship. 20.
https://digitalcommons.iwu.edu/math_scholarship/20