Explicit expression for the generating function counting Gessel's walks

Details Explicit expression for the generating function counting Gessel's walks Explicit expression for the generating function counting Gessel's walks

2009-12-02

arxiv.org/abs/0912.0457v3

Advances in Applied Mathematics 47 (2011) 414-433

Mathematics

Combinatorics

23 pages

Scientific paper

Gessel's walks are the planar walks that move within the positive quadrant $\mathbb{Z}_{+}^{2}$ 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 Gessel's walks with $k\geq 0$ steps, which start at $(0,0)$ and end at a given point $(i,j) \in \mathbb{Z}^2_+$.

Affiliated with

Also associated with

No associations

Rating

Explicit expression for the generating function counting Gessel's walks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Explicit expression for the generating function counting Gessel's walks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit expression for the generating function counting Gessel's walks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-510067