The Bergman kernel of a certain Hartogs domain and the polylogarithm function
Complex Variables
2010-09-01 v1
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.
Keywords
Cite
@article{arxiv.1008.5339,
title = {The Bergman kernel of a certain Hartogs domain and the polylogarithm function},
author = {Atsushi Yamamori},
journal= {arXiv preprint arXiv:1008.5339},
year = {2010}
}
Comments
6pages