Generating functions for the area below some lattice pathsConference paper
Authors: Donatella Merlini 1
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Donatella Merlini
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).
Andreas Bärtschi;Barbara Geissmann;Daniel Graf;Tomas Hruz;Paolo Penna;et al., arXiv (Cornell University), On Computing the Total Displacement Number via Weighted Motzkin Paths, pp. 423-434, 2016, 10.1007/978-3-319-44543-4_33, http://arxiv.org/abs/1606.05538.