Explicit Formulas of the Bergman Kernel Functions for A Class of Hua Domains
Consider a class of Hua domains E(q1,…,qm,Ω;p1,…,pm)on any irreducible bounded circular homo-geneity domain,and among them,Ωis any irreducible bounded circular homogeneity domain,q1,···,qm are all natural numbers,m,p1,···,pm are all positive integers,N(Z,Z)is the norm of Ω.The explicit formulas of the Berg-man kernel functions for the domains are provided by using the complete orthogonal function system and multivariate polar coordinate transformation.