Abstract
We introduce a family of number triangles defined by exponential Riordan arrays, which generalize Pascal’s triangle. We characterize the row sums and central coeffi- cients of these triangles, and define and study a set of generalized Catalan numbers. We establish links to the Hermite, Laguerre and Bessel polynomials, as well as links to the Narayana and Lah numbers.
| Original language | English |
|---|---|
| Article number | 07.3.5 |
| Journal | Journal of Integer Sequences |
| Volume | 10 |
| Issue number | 3 |
| Publication status | Published - 2007 |
Keywords
- Bessel polynomials
- Catalan numbers
- Hermite polynomials
- Laguerre polynomials
- Lah numbers
- Narayana numbers
- Pascal's triangle