Abstract
LetS 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 Nth 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.
Citation
Karl-Joachim Wirths. "A short proof of a theorem of Bertilsson by direct use of Löwner’s method." Ark. Mat. 39 (2) 395 - 398, October 2001. https://doi.org/10.1007/BF02384564
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