| author: | Donatella Merlini |
|---|---|
| title: | Generating functions for the area below some lattice paths |
| keywords: | Generating functions, Riordan arrays, lattice paths, generating trees, area, internal path length. |
| abstract: |
We study some lattice paths related to the concept of
generating trees. When the matrix associated to this kind
of trees is a Riordan array
D=(d(t),h(t))
, we are able to find the generating function for the
total area below these paths expressed in terms of the
functions
d(t)
and
h(t).
|
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| reference: | Donatella Merlini (2003), Generating functions for the area below some lattice paths, in Discrete Random Walks, DRW'03, Cyril Banderier and Christian Krattenthaler (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AC, pp. 217-228 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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| pdf-source: | dmAC0121.pdf (208 K) |
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