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On the radius of convexity of order α of the totally monotonic functions

✍ Scribed by Pavel G Todorov

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
333 KB
Volume
151
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES

On the radius of convexity of linear com
On the radius of convexity of linear combinations of univalent functions and their derivatives
✍ Richard Greiner; Oliver Roth 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB

## Abstract Let __S__ denote the set of normalized univalent functions in the unit disk. We consider the problem of finding the radius of convexity __r~α~__ of the set {(1 – __α__)__f__(__z__) + __αzf__′(__z__) : __f__ ∈ __S__} for fixed __α__ ∈ ℂ. Using a linearization method we find the exact