The Zeros of the Bergman Kernel for Some Reinhardt Domains

We consider the Reinhardt domain Dn={(ζ,z)∈C×Cn:|ζ|2<(1-|z1|2)⋯(1-|zn|2)}. We express the explicit closed form of the Bergman kernel for Dn using the exponential generating function for the Stirling number of the second kind. As an application, we show that the Bergman kernel Kn for Dn has zeros...

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Bibliographic Details
Main Author: Jong-Do Park
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/3856096
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