Explicit Formulas of the Bergman Kernel Functions for A Class of Hua Domains

Consider a class of Hua domains E(q₁, …, q_m, Ω; p₁, …, p_m) on any irreducible bounded circular homogeneity domain, and among them, Ω is any irreducible bounded circular homogeneity domain, q₁, …, q_m are all natural numbers, m, p₁, …, p_m are all positive integers, N(Z, Z) is the norm of Ω. The explicit formulas of the Bergman kernel functions for the domains are provided by using the complete orthogonal function system and multivariate polar coordinate transformation.