Relationship between the Bergman and Cauchy-Szegö in the domains $\tau ^{+}(n-1)$ и $\Re _{IV}^{n}$

In this paper, a connection has been established between the Bergman and Cauchy-Szegö kernels using the biholomorphic equivalence of the domains $\tau ^{+} \left(n-1\right)$ and the Lie ball $\Re _{IV}^{n} $. Moreover, integral representations of holomorphic functions in these domains are obtained.