Abstract
In the case of two combinatorial polynomials (the Bell polynomials and the Eulerian polynomials), we show that they can exhibited as moments of paramaterized families of
orthogonal polynomials, and hence derive their Hankel transforms. Exponential Riordan arrays are the main vehicles used for this.
| Original language | English |
|---|---|
| Pages (from-to) | 11.6.7 |
| Journal | Journal of Integer Sequences |
| Volume | 14 |
| Issue number | 6 |
| Publication status | Published - 2011 |
Keywords
- Exponential polynomial
- Exponential riordan array
- Hankel determinant
- Hankel transform
- Integer sequence
- Moments
- Orthogonal polynomials
- Touchard polynomial