Abstract
We define a transformation that associates certain exponential moment sequences with ordinary moment sequences in a natural way. The ingredients of this transformation are series reversion, the Sumudu transform (a variant of the Laplace transform), and the inverting of generating functions. This transformation also has a simple interpretation in terms of continued fractions. It associates lattice path objects with permutation objects, and in particular it associates the Narayana triangle with the Eulerian triangle.
| Original language | English |
|---|---|
| Article number | 18.7.1 |
| Journal | Journal of Integer Sequences |
| Volume | 21 |
| Issue number | 7 |
| Publication status | Published - 2018 |
Keywords
- Catalan number
- Eulerian triangle
- Exponential generating function
- Moment sequence
- Narayana trian-gle
- Orthogonal polynomial
- Riordan array
- Sumudu transform