Geodesic
Sharp estimates of the first coefficients for a~class of typically real functions
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 38-46

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Let $T$ be the class of functions $f(z)=z+\sum_{n=2}^\infty c_nz^n$ regular and typically real in the disk $U=|z|1$. Sharp estimates on the coefficients $c_5$ and $c_6$ in terms of the values $f(r)$, $0$, are obtained. 
@article{ZNSL_2015_439_a3,
     author = {E. G. Goluzina},
     title = {Sharp estimates of the first coefficients for a~class of typically real functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {38--46},
     publisher = {mathdoc},
     volume = {439},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a3/}
}
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E. G. Goluzina. Sharp estimates of the first coefficients for a~class of typically real functions. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVIII, Tome 439 (2015), pp. 38-46. http://geodesic.mathdoc.fr/item/ZNSL_2015_439_a3/