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.
| Original language | American English |
|---|---|
| Journal | Linear Algebra and Its Applications |
| Volume | 507 |
| State | Published - 2016 |
Keywords
- Appell subgroup
- Bell subgroup
- Girard-Waring type identities
- Riordan arrays
- Riordan group
- asso- ciate subgroup
- checkerboard subgroup
- derivative subgroup
- hitting- time subgroup
- sum functions of Riordan arrays
Disciplines
- Mathematics