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arXiv · 1704.01997

Torsional Rigidity and Bergman Analytic Content of Simply Connected Regions

Matthew Fleeman·Brian Simanek
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Abstract

We exploit the equality of Bergman analytic content and torsional rigidity of a simply connected domain to develop a new method for calculating these quantities. This method is particularly suitable for the case when the region in question is a polygon. A large number of examples are computed in explicit detail to demonstrate the utility of our ideas.

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Matthew Fleeman, Brian Simanek. 2017-04-06. Torsional Rigidity and Bergman Analytic Content of Simply Connected Regions. https://doi.org/10.1007/s40315-018-0252-4

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