The Bergman Kernels on Generalized Exceptional Hua Domains

摘要

@@Yin Weiping introduce four types of Hua domain which are built on four types of Cartan domain and the Bergman kernels on these four types of Hua domain can be computed in explicit formulas[1]. In this paper, two types of domains defined by (10), (11) (see below) are introduced which are built on two exceptional Cartan domains. And We compute Bergman Kernels explicitly for these two domains. We also study the asymptotic behavior of the Bergman kernel function near boundary points, drawing on Appell's multivariable hypergeometric function.