Geodesic
On the mutual change of the coefficients and values of the derivative in a~class of regular functions
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXX, Tome 463 (2017), pp. 36-43

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Let $T$ be the class of functions $f(z)=z+\sum^\infty_{n=2}c_nz^n$ regular and typically real in the disk $|z|1$. Sharp estimates for the coefficients $c_4$ and $c_5$ in terms of $f'(r)$ are obtained. 
@article{ZNSL_2017_463_a3,
     author = {E. G. Goluzina},
     title = {On the mutual change of the coefficients and values of the derivative in a~class of regular functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {36--43},
     publisher = {mathdoc},
     volume = {463},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2017_463_a3/}
}
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E. G. Goluzina. On the mutual change of the coefficients and values of the derivative in a~class of regular functions. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXX, Tome 463 (2017), pp. 36-43. http://geodesic.mathdoc.fr/item/ZNSL_2017_463_a3/