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arXiv · 1008.5339

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

Atsushi Yamamori
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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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Atsushi Yamamori. 2010-08-31. The Bergman kernel of a certain Hartogs domain and the polylogarithm function. https://arxiv.org/abs/1008.5339

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