Geodesic
On the region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class of typically real finctions
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIII, Tome 382 (2010), pp. 5-14

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Investigations in the well-known class $T$ of typically real functions $f(z)$ in the disk $U=\{z\colon|z|1\}$ are continued. The region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class $T$ is investigated. The region of values of $f'(z_1)$ in the class of functions $f\in T$ with fixed values $c_2, c_3$ and $f(z_1)$ is determined. Bibl. 10 titles. 
@article{ZNSL_2010_382_a0,
     author = {E. G. Goluzina},
     title = {On the region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class of typically real finctions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {5--14},
     publisher = {mathdoc},
     volume = {382},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_382_a0/}
}
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E. G. Goluzina. On the region of values of the system $\{c_2,c_3,f(z_1),f'(z_1)\}$ in the class of typically real finctions. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIII, Tome 382 (2010), pp. 5-14. http://geodesic.mathdoc.fr/item/ZNSL_2010_382_a0/