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

Anthony J. Guttmann·Iwan Jensen
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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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Anthony J. Guttmann, Iwan Jensen. 2005-09-15. Fuchsian differential equation for the perimeter generating function of three-choice polygons. https://arxiv.org/abs/math/0506317

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