A short proof of a theorem of Bertilsson by direct use of Löwner’s method

Karl-Joachim Wirths Institut für Analysis, Technische Universität Braunschweig

TBD mathscidoc:1701.332970

Arkiv for Matematik, 39, (2), 395-398, 2000.3
Let$S$denote the class of schlicht functions. D. Bertilsson proved recently that for$f∈S, p<0$and$1<-N<-2|p|+1$the modulus of the$N$th Taylor coefficient of ($f′$)^{$p$}takes its maximal value if$f$is the Koebe function. Here a short proof of a generalisation of this result is presented.
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@inproceedings{karl-joachim2000a,
  title={A short proof of a theorem of Bertilsson by direct use of Löwner’s method},
  author={Karl-Joachim Wirths},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203603131784779},
  booktitle={Arkiv for Matematik},
  volume={39},
  number={2},
  pages={395-398},
  year={2000},
}
Karl-Joachim Wirths. A short proof of a theorem of Bertilsson by direct use of Löwner’s method. 2000. Vol. 39. In Arkiv for Matematik. pp.395-398. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203603131784779.
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