Geodesic
On the value regions of systems $\{f(z_1),f'(z_1)\}$ and $\{f(z_1),f(z_2)\}$ in the class of typically real functions
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 15, Tome 254 (1998), pp. 65-75

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In the class $T$ consisting of regular and typically real functions in the disk $|x|1$, the value regions of the system $\{f(z_1),f'(z_1)\}$ and $\{f(z_1),f(z_2)\}$ are found for fixed $z_1$ and $z_2$. As an application, the value regions of $f'(z_1)$ and $f(z_2)$ are found for $f\in T$ with fixed value $f(z_1)$. 
@article{ZNSL_1998_254_a3,
     author = {E. G. Goluzina},
     title = {On the value regions of systems $\{f(z_1),f'(z_1)\}$ and $\{f(z_1),f(z_2)\}$ in the class of typically real functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {65--75},
     publisher = {mathdoc},
     volume = {254},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a3/}
}
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E. G. Goluzina. On the value regions of systems $\{f(z_1),f'(z_1)\}$ and $\{f(z_1),f(z_2)\}$ in the class of typically real functions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 15, Tome 254 (1998), pp. 65-75. http://geodesic.mathdoc.fr/item/ZNSL_1998_254_a3/