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

Published 31 Aug 2010 in math.CV | (1008.5339v1)

Abstract: 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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Authors (1)

Atsushi Yamamori

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