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We explore the relationship between the Bergman kernel of a Hartogs domainand weighted Bergman kernels over its base domain. In particular we develop arepresentation of the Bergman kernel of a Hartogs domain as a series involvingweighted Bergman kernels over its base, as well as a "transformation" formulafor some weighted Bergman kernels. Other relationships of this type arepresented.

Relationships Between the Bergman Kernels of Hartogs Domains and Their Base