| Citation: |
CHENG Xiaoliang, FU Yu. Explicit Formulas of the Bergman Kernel Functions for A Class of Hua Domains[J]. Journal of South China Normal University (Natural Science Edition), 2024, 56(2): 105-109. DOI: 10.6054/j.jscnun.2024028
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Consider a class of Hua domains E(q1, …, qm, Ω; p1, …, pm) on any irreducible bounded circular homogeneity domain, and among them, Ω is 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 Bergman kernel functions for the domains are provided by using the complete orthogonal function system and multivariate polar coordinate transformation.
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