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LETTER TO THE EDITOR

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

Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 L769-L775   doi: 10.1088/0305-4470/38/46/L01  Help

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Iwan Jensen
ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia
E-mail: I.Jensen@ms.unimelb.edu.au

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.

PACS numbers: 05.50.+q, 05.70.Jk, 02.10.Ox

Print publication: Issue 46 (18 November 2005)
Received 15 September 2005
Published 2 November 2005

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