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

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

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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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2010-07, Vol.43 (26), p.265001-265001
1. Verfasser: Lin, Keh Ying
Format: Artikel
Sprache:eng
Schlagworte:
Derivation
Gyration
Mathematical analysis
Polygons
Series expansion
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Beschreibung
Zusammenfassung: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.
ISSN:1751-8113
DOI:10.1088/1751-8113/43/26/265001