Fuchsian differential equation for the perimeter generating function of three-choice polygons

Details Fuchsian differential equation for the perimeter generating function of three-choice polygons Fuchsian differential equation for the perimeter generating function of three-choice polygons

2005-06-16

arxiv.org/abs/math/0506317v2

Seminaire Lotharingien de Combinatoire 54, Article B54c (2006)

Mathematics

Combinatorics

13 pages, 2 figures, talk presented in honour of X. Viennot at Seminaire Lotharengien, Lucelle, France, April 3-6 2005. Paper

Scientific paper

Using a simple transfer matrix approach we have derived very long series
expansions for the perimeter generating function of three-choice polygons. We
find that all the terms in the generating function can be reproduced from a
linear Fuchsian differential equation of order 8. We perform an analysis of the
properties of the differential equation.

Affiliated with

Also associated with

No associations

Rating

Fuchsian differential equation for the perimeter generating function of three-choice polygons 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 Fuchsian differential equation for the perimeter generating function of three-choice polygons, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fuchsian differential equation for the perimeter generating function of three-choice polygons will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-5163