Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 L769 doi:10.1088/0305-4470/38/46/L01
Perimeter generating functions for the mean-squared radius of gyration of convex polygons
FREE ARTICLEIwan Jensen
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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
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02.30.Lt Sequences, series, and summability
- MSC
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05A15 Exact enumeration problems, generating functions (See also 33Cxx, 33Dxx)
41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
- Subjects
- Dates
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Issue 46 (18 November 2005)
Received 15 September 2005
Published 2 November 2005
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Perimeter generating functions for the mean-squared radius of gyration of convex polygons
Iwan Jensen 2005 J. Phys. A: Math. Gen. 38 L769
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