Partial difference equation method for lattice path problems
The authors recently have exactly solved the problems of the enumeration of paths on a square lattice [J. Stat. Phys. 93, No. 1-2, 155-192 (1998)], evaluating the partition functions. In this paper they discuss the application of the partial difference equation method for the case of one path in a half-plane, comparing it with the transfer matrix method, and show that this method can be easily generalized to many intersecting paths.
scientific article; zbMATH DE number 1347712