On a transformation of Riordan moment sequences
Combinatorics
2018-02-13 v1
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.
Keywords
Cite
@article{arxiv.1802.03443,
title = {On a transformation of Riordan moment sequences},
author = {Paul Barry},
journal= {arXiv preprint arXiv:1802.03443},
year = {2018}
}
Comments
17 pages