Abstract
We show how to construct an exponential Riordan array from a knowledge of its A and Z sequences. The effect of pre- and post-multiplication by the binomial matrix on the A and Z sequences is examined, as well as the effect of scaling the A and Z sequences. Examples are given, including a discussion of related Sheffer orthogonal polynomials.
| Original language | English |
|---|---|
| Article number | 14.2.6 |
| Journal | Journal of Integer Sequences |
| Volume | 17 |
| Issue number | 2 |
| Publication status | Published - 06 Jan 2014 |
Keywords
- A sequence
- Exponential riordan array
- Orthogonal polynomial
- Production matrix
- Z sequence