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Torsional Rigidity and Bergman Analytic Content of Simply Connected Regions

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arxiv 1704.01997 v1 pith:XXRCBEAQ submitted 2017-04-06 math.CA math-phmath.MP

Matthew Fleeman , Brian Simanek This is my paper · ORCID
classification math.CAmath-phmath.MP
keywords analyticbergmanconnectedcontentmethodrigiditysimplytorsional
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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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