Partially directed paths in a wedge

The enumeration of lattice paths in wedges poses unique mathematical challenges. These models are not translationally invariant, and the absence of this symmetry complicates both the derivation of a functional recurrence for the generating function, and solving for it. In this paper we consider a model of partially directed walks from the origin in the square lattice confined to both a symmetric wedge defined by Y =

• Type: Journal
• Year: 2008
• Where: JCT
• Authors: E. J. Janse van Rensburg, T. Prellberg, A. Rechnitzer
• Keywords: Functional Recurrence, Generating Function, JCT 2008, Lattice Paths