Donatella Merlini - Generating functions for the area below some lattice paths

dmtcs:3323 - Discrete Mathematics & Theoretical Computer Science, January 1, 2003, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) - https://doi.org/10.46298/dmtcs.3323
Generating functions for the area below some lattice pathsConference paper

Authors: Donatella Merlini 1

  • 1 Dipartimento di Sistemi e Informatica


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 $h(t)$.

https://doi.org/10.46298/dmtcs.3323
Source: HAL:hal-01183918v1
Volume: DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03)
Section: Proceedings
Published on: January 1, 2003
Imported on: May 10, 2017
Keywords: [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS], [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG], [en] Generating functions, Riordan arrays, lattice paths, generating trees, area, internal path length.

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