Bergman completeness of Zalcman type domains
We give an equivalent condition for Bergman completeness of Zalcman type domains. This also solves a problem stated by Pflug.
Bergman coordinates
Various incarnations of Stefan Bergman's notion of representative coordinates will be given that are useful in a variety of contexts. Bergman wanted his coordinates to map to canonical regions, but they fail to do this for multiply connected regions. We show, however, that it is possible to define generalized Bergman coordinates that map multiply connected domains to quadrature domains which satisfy a long list of desirable properties, making them excellent candidates to be called Bergman representative...