Article ID Journal Published Year Pages File Type
4624944 Advances in Applied Mathematics 2011 20 Pages PDF
Abstract

Gesselʼs walks are the planar walks that move within the positive quadrant by unit steps in any of the following directions: West, North-East, East and South-West. In this paper, we find an explicit expression for the trivariate generating function counting the Gesselʼs walks with k⩾0 steps, which start at (0,0) and end at a given point .

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics