  In this paper we obtain the closed forms of some hypergeometric functions. As
an application, we obtain the explicit forms of the Bergman kernel functions
for Reinhardt domains $\{|z_3|^{\lambda} < |z_1|^{2p} + |z_2|^2, \quad
|z_1|^{2p} + |z_2|^2 < |z_1|^{p} \}$ and $\{|z_4|^{\lambda} < (|z_1|^2 +
|z_2|^2)^{p} + |z_3|^2, \quad (|z_1|^2 + |z_2|^2)^{p} + |z_3|^2 < (|z_1|^2 +
|z_2|^2 )^{p/2} \}$.
