Explicit formulas of the Bergman kernel for some Reinhardt domains (Q345296)

The power series of \(n\) variables \[ \sum\limits_{m=0}^{\infty} \frac{(a)_{2m_1+\ldots+2m_n} x_1^{m_1} \ldots x_n^{m_n}}{(c)_{m_1+\ldots+m_n} m_1! \ldots m_n!} \] is represented explicitly in terms of the classical hypergeometric functions. By using this result an explicit representation for the Bergman kernel in certain Reinhardt domains is obtained.