Explicit formulas of the Bergman kernel functions for some domains of Hua Luo-Geng

The explicit formulas of the Bergman kernel functions for some new domains of Hua Luo-Geng are provided by constructing hypergeometric function and spherical integral transform method. Among them,$\Omega$ is any irreducible bounded circular homogeneity domain, $k,m,q_{2},\cdots,q_{m}$ are all positive integers, $p_{2},\cdots,p_{m}$ are all positive number, $N(Z, Z)$ is the norm of $\Omega$.And when $\Omega$ is four categories of irreducible symmetrical typical domain, then the domain is Hua Luo-Geng domain. And the explicit formulas of the Bergman kernel functions for corresponding domains of Hua Luo-Geng can be drawn.