Geodesic
Generating functions for the area below some lattice paths
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03), DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) (2003).

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We study some lattice paths related to the concept ofgenerating 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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     author = {Merlini, Donatella},
     title = {Generating functions for the area below some lattice paths},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03)},
     year = {2003},
     doi = {10.46298/dmtcs.3323},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3323/}
}
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Merlini, Donatella. Generating functions for the area below some lattice paths. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03), DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) (2003). doi : 10.46298/dmtcs.3323. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3323/

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