Geodesic
On Logarithmic Derivatives of Functions in a Class of Starlike Mappings
Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 38-44

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The purpose of this paper is to prove some facts about integral means of (d2/dz2)(log[f(z)/z])—or equivalently f′′/f, for f in a class of starlike mappings of a "singular" nature. In particular it is noted that the Koebe function is not extremal for the Hardy means Mp(r,f′′/f) for functions in this class.
DOI : 10.4153/CMB-1993-007-1
Mots-clés : 30C45 
Gluchoff, Alan D. On Logarithmic Derivatives of Functions in a Class of Starlike Mappings. Canadian mathematical bulletin, Tome 36 (1993) no. 1, pp. 38-44. doi: 10.4153/CMB-1993-007-1
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     title = {On {Logarithmic} {Derivatives} of {Functions} in a {Class} of {Starlike} {Mappings}},
     journal = {Canadian mathematical bulletin},
     pages = {38--44},
     year = {1993},
     volume = {36},
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     doi = {10.4153/CMB-1993-007-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1993-007-1/}
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