The Bergman kernel functions on Hua domains

We get the Bergman kernel functions in explicit formulas on four types of H ua domain. There are two key steps: First, we give the holomorphic automorp hism groups of four types of Hua domain; second, we introduce the concept o f semi-Reinhardt domain and give their complete orthonormal systems. Based on these two aspects we obtain the Bergman kernel function in explicit form ulas on Hua domains.