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.
| Original language | American English |
|---|---|
| Journal | Discrete Applied Math |
| Volume | 155 |
| State | Published - 2007 |
Keywords
- Formal power series
- Riodan array
- Riordan group.
- Sheffer group
- Sheffer-type differential operators
- Sheffer-type polynomials
- generalized weighted Stirling numbers
Disciplines
- Applied Mathematics
- Mathematics