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 Bergman kernel for some generalized Hartogs domains Bull. Korean Math. Soc.Published online October 17, 2019 Jong-Do Park Kyung Hee University Abstract : In this paper, we compute the Bergman kernel for $$\Omega_{p,q,r}=\{(z,z',w)\in\mathbb{C}^3 : |z|^{2p}<(1-|z'|^{2q})(1-|w|^2)^r\},$$ where $p,q,r>0$ in terms of multivariable hypergeometric series. As a consequence, we obtain the boundary behavior of $$K_{\Omega_{p,q,r}}(z,0,0;z,0,0)$$ on the diagonal when $(z,0,0)$ approaches to the boundary of $\Omega_{p,q,r}$. Keywords : Bergman kernel, Hartogs domain, hypergeometric series MSC numbers : 32A25, 32A07, 33C05 Full-Text :