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math.PR2010★ 22 cited
On the Holonomy or Algebraicity of Generating Functions Counting Lattice Walks in the Quarter-Plane
Guy Fayolle, Kilian Raschel
In two recent works \cite{BMM,BK}, it has been shown that the counting generating functions (CGF) for the 23 walks with small steps confined in a quadrant and associated with a fin…
math.CO2010
Counting walks in a quadrant: a unified approach via boundary value problems
Kilian Raschel
The aim of this article is to introduce a unified method to obtain explicit integral representations of the trivariate generating function counting the walks with small steps which…