Perimeter generating functions for the mean-squared radius of gyration of convex polygons

Iwan Jensen

doi:10.1088/0305-4470/38/46/L01

Perimeter generating functions for the mean-squared radius of gyration of convex polygons

Iwan Jensen

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We have derived long series expansions for the perimeter generating functions of the radius of gyration of various polygons with a convexity constraint. Using the series we numerically find simple (algebraic) exact solutions for the generating functions. In all cases the size exponent ν ≤ 1.

Original language	English
Pages (from-to)	L769-L775
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	46
DOIs	https://doi.org/10.1088/0305-4470/38/46/L01
Publication status	Published - 15 Nov 2005
Externally published	Yes

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title = "Perimeter generating functions for the mean-squared radius of gyration of convex polygons",

abstract = "We have derived long series expansions for the perimeter generating functions of the radius of gyration of various polygons with a convexity constraint. Using the series we numerically find simple (algebraic) exact solutions for the generating functions. In all cases the size exponent ν ≤ 1.",

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Perimeter generating functions for the mean-squared radius of gyration of convex polygons

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