On the region of values of the system $\{f(z_1),\dots,f(z_n)\}$ in the class of typically real functions

The paper studies the region of values of the system $\{f(z_1), f(z_2),\dots,f(z_n)\}$ in the class $T$ of functions $f(z)=z+a_2z^2+\dots$ regular in the unit disk and satisfying the condition $\operatorname{Im}f(z)\cdot\operatorname{Im}z>0$ for $\operatorname{Im}z\ne0$.