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.