The perimeter generating function of punctured staircase polygons

Anthony J. Guttmann, Iwan Jensen

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

Using a simple transfer matrix approach we have derived very long series expansions for the perimeter generating function of punctured staircase polygons (staircase polygons with a single internal staircase hole). 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.

Original languageEnglish
Pages (from-to)3871-3882
Number of pages12
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number15
DOIs
Publication statusPublished - 14 Apr 2006
Externally publishedYes

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