EXACT SOLUTION OF THE STAIRCASE AND ROW-CONVEX POLYGON PERIMETER AND AREA GENERATING FUNCTION

被引：47

作者：

BRAK, R

GUTTMANN, AJ

机构：

[1] Dept. of Math., Melbourne Univ., Parkville, Vic.

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 20期

关键词：

D O I：

10.1088/0305-4470/23/20/019

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An explicit expression is obtained for the perimeter and area generating function G(y, z)= Sigma n>or=2 Sigma m>or=1 c n,mynZm, where cn,m is the number of row-convex polygons with area m and perimeter n. A similar expression is obtained for the area-perimeter generating function for staircase polygons. Both expressions contain q-series.

引用

页码：4581 / 4588

页数：8

共 12 条

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[7] RIGOROUS RESULTS FOR THE NUMBER OF CONVEX POLYGONS ON THE SQUARE AND HONEYCOMB LATTICES
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[10] DIFFERENCE-EQUATIONS IN STATISTICAL-MECHANICS .1. CLUSTER STATISTICS MODELS
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