Fuchsian Differential Equation for the Perimeter Generating Function of Three-choice Polygons

Abstract

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. 

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Cite this paper

@inproceedings{Guttmann2006FuchsianDE, title={Fuchsian Differential Equation for the Perimeter Generating Function of Three-choice Polygons}, author={Anthony J. Guttmann and Iwan Jensen}, year={2006} }