Geodesic
Fuchsian Differential Equation for the Perimeter Generating Function of Three-Choice Polygons
Séminaire lotharingien de combinatoire, Tome 54 (2006-2007)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

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. 

@article{SLC_2006-2007_54_a2,
     author = {Anthony J. Guttmann and Iwan Jensen},
     title = {Fuchsian {Differential} {Equation} for the {Perimeter} {Generating} {Function} of {Three-Choice} {Polygons}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {54},
     year = {2006-2007},
     url = {http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a2/}
}
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Anthony J. Guttmann; Iwan Jensen. Fuchsian Differential Equation for the Perimeter Generating Function of Three-Choice Polygons. Séminaire lotharingien de combinatoire, Tome 54 (2006-2007). http://geodesic.mathdoc.fr/item/SLC_2006-2007_54_a2/