On the region of values of the system $\{c_2,f(z_1),f(z_2)\}$ in the class of typically real finctions

The author's investigations in the well known class $T$ of typically real functions $f(z)$ in the disk $U=\{z\colon|z|<1\}$ are prolonged. The region of values of the system $\{c_2,f(z_1),f(z_2)\}$ in the class $T$ is investigated. As a corollary, the region of values $f(z_2)$ in the class of functions $f\in T$ with fixed values $c_2$ and $f(z_1)$ is determined. In the proof a criterion of decision power moment problem is used. Bibl. – 8 titles.