Abstract
We give the condition that the Bergman kernel function of the second type of Cartan-Hartogs domain has zeros. When the Bergman kernel function of this type of domain has zeros, the topological properties of the zero cluster are proved, and the conditions are given to judge whether a boundary point on the definition domain of the Bergman kernel function is an aggregation point of the zero cluster.
Acknowledgments
The authors thank the referees for many valuable comments and suggests.
Disclosure statement
No potential conflict of interest was reported by the author(s).