22 citations · 22 across the 1 of their papers we have counts for
2 papers
math.CO2016
Hypergeometric Expressions for Generating Functions of Walks with Small Steps in the Quarter Plane
Alin Bostan, Frédéric Chyzak, Mark van Hoeij +2
We study nearest-neighbors walks on the two-dimensional square lattice, that is, models of walks on defined by a fixed step set that is a subset of the non-zero vect…
cs.SC2011★ 22 cited
Explicit formula for the generating series of diagonal 3D rook paths
Alin Bostan, Frédéric Chyzak, Mark van Hoeij +1
Let denote the number of ways in which a chess rook can move from a corner cell to the opposite corner cell of an three-dimensional chessboard, assuming…