Geodesic
Some sharp estimates for typically real functions
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 81-88

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Let $T$ be the class of functions $f(z)=z+\sum^\infty_{n=r}c_nz^n$ regular and typically real in the disk $|z|1$. Sharp estimates for the coefficients $c_3$ and $c_4$ in terms of the values $f(r)$, $0$, are obtained. 
@article{ZNSL_2014_428_a5,
     author = {E. G. Goluzina},
     title = {Some sharp estimates for typically real functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {81--88},
     publisher = {mathdoc},
     volume = {428},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a5/}
}
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E. G. Goluzina. Some sharp estimates for typically real functions. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 81-88. http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a5/