Torsional Rigidity and Bergman Analytic Content of Simply Connected Regions
arXiv:1704.01997 · doi:10.1007/s40315-018-0252-4
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.
20 pages, 7 figures