Geodesic
On the mutual change of values of the derivative and third coefficient in a class of regular functions
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIX, Tome 453 (2016), pp. 15-21 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 derivative $f'(r)$ $(0 in terms of the value $c_3$ and sharp estimates for the coefficient $c_3$ in terms of $f'(r)$ are obtained. 
@article{ZNSL_2016_453_a1,
     author = {E. G. Goluzina},
     title = {On the mutual change of values of the derivative and third coefficient in a~class of regular functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {15--21},
     year = {2016},
     volume = {453},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2016_453_a1/}
}
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E. G. Goluzina. On the mutual change of values of the derivative and third coefficient in a class of regular functions. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIX, Tome 453 (2016), pp. 15-21. http://geodesic.mathdoc.fr/item/ZNSL_2016_453_a1/