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Paper detail

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

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.

preprint2010arXivOpen access
Atsushi Yamamori
math.CV
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Atsushi Yamamori

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