Article
Row Sums and Alternating Sums of Riordan Arrays
Linear Algebra and its Applications
(2016)
Abstract
Here we use row sum generating functions and alternating sum generating functions to characterize Riordan arrays and subgroups of the Riordan group. Numerous applications and examples are presented which include the construction of Girard-Waring type identities. We also show the extensions to weighted sum (generating) functions,
called the expected value (generating) functions of Riordan arrays.
Keywords
- Riordan arrays,
- Riordan group,
- Appell subgroup,
- asso- ciate subgroup,
- Bell subgroup,
- derivative subgroup,
- checkerboard subgroup,
- hitting- time subgroup,
- Girard-Waring type identities,
- sum functions of Riordan arrays
Disciplines
Publication Date
2016
Publisher Statement
Linear Algebra and Its Applications is published by Elsevier. For more information please see the Linear Algebra and Its Applications homepage
Citation Information
Tian-Xiao He and Louis W. Shapiro. "Row Sums and Alternating Sums of Riordan Arrays" Linear Algebra and its Applications Vol. 507 (2016) p. 77 - 95 ISSN: 0024-3795 Available at: http://works.bepress.com/tian_xiao_he/79/