The Bergman kernel of a certain Hartogs domain and the polylogarithm function

Details The Bergman kernel of a certain Hartogs domain and the polylogarithm function The Bergman kernel of a certain Hartogs domain and the polylogarithm function

2010-08-31

arxiv.org/abs/1008.5339v1

Mathematics

Complex Variables

6pages

Scientific paper

We consider a certain Hartogs domain which is related to the Fock-Bargmann
space. We give an explicit formula for the Bergman kernel of the domain in
terms of the polylogarithm functions. Moreover we solve the Lu Qi-Keng problem
of the domain in some cases.

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