Estimating the second coefficient in the class of typically real functions with two function values prescribed
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 59-66
E. G. Goluzina. Estimating the second coefficient in the class of typically real functions with two function values prescribed. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXV, Tome 405 (2012), pp. 59-66. http://geodesic.mathdoc.fr/item/ZNSL_2012_405_a5/
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     title = {Estimating the second coefficient in the class of typically real functions with two function values prescribed},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Let $T_1$ be the class of functions $f(z)=z+c_2z^2+\cdots$ regular and typically real in the disk $|z|<1$ whose values $f(r_1)$ and $f(z_2)$ are fixed, $0. Let $T_2$ be the class of functions $f(z)=z+c_2z^2+\cdots$ regular and typically real in the disk $|z|<1$ whose values $f(r_1)$ and $f(z_0)$ are fixed, $0, $0<|z_0|<1$. Sharp estimates on the coefficient $c_2$ are obtained for the classes $T_1$ and $T_2$.

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