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Regions of variability for convex functions |
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| Authors: | Hiroshi Yanagihara |
| Abstract: | Let ?? be the class of convex univalent functions f in the unit disc ?? normalized by f (0) = f ′(0) – 1 = 0. For z 0 ∈ ?? and |λ | ≤ 1 we shall determine explicitly the regions of variability {log f ′(z 0): f ∈ ??, f ″(0) = 2λ }. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | Convex variability region starlike |