Rigorous derivation of the perimeter generating function for the mean-squared radius of gyration of convex polygons

被引：0
|
作者：
Lin, Keh Ying [1 ]
机构：
[1] Natl Tsing Hua Univ, Dept Phys, Hsinchu 300, Taiwan
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 26期
关键词：
AREA-WEIGHTED MOMENTS; LATTICE; NUMBER;
D O I：
10.1088/1751-8113/43/26/265001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We have rigorously derived the perimeter generating function for the mean-squared radius of gyration of convex polygons. This function was first conjectured by Jensen. His nonrigorous result is based on the analysis of the long series expansions.
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