Geodesic
Univalent functions without common values
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 86-89

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In this paper we establish inequalities involving moduli of derivatives $|f_k'(0)|$ of functions $f_k$ univalent in the unit disk $|z|1$ having no common values and translating zero in a point on the segment $[-1,1]$, $k=1,\dots,n$. We estimate $f_k$ by means of Schwarzian derivatives.
Keywords: univalent functions, conformal radius, Schwarzian derivative.
Mots-clés : extremal partitions 
@article{IVM_2010_9_a8,
     author = {D. A. Kirillova},
     title = {Univalent functions without common values},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {86--89},
     publisher = {mathdoc},
     number = {9},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_9_a8/}
}
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D. A. Kirillova. Univalent functions without common values. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2010), pp. 86-89. http://geodesic.mathdoc.fr/item/IVM_2010_9_a8/