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Region of variability for close-to-convex functions

✍ Scribed by Ponnusamy, S.; Vasudevarao, A.; Yanagihara, H.


Book ID
120711539
Publisher
Taylor and Francis Group
Year
2008
Tongue
English
Weight
128 KB
Volume
53
Category
Article
ISSN
1747-6933

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πŸ“œ SIMILAR VOLUMES


Regions of variability for convex functi
✍ Hiroshi Yanagihara πŸ“‚ Article πŸ“… 2006 πŸ› John Wiley and Sons 🌐 English βš– 133 KB

## Abstract Let π’ž be the class of convex univalent functions __f__ in the unit disc 𝔻 normalized by __f__ (0) = __f__ β€²(0) – 1 = 0. For __z__ ~0~ ∈ 𝔻 and |__Ξ»__ | ≀ 1 we shall determine explicitly the regions of variability {log __f__ β€²(__z__ ~0~): __f__ ∈ π’ž, __f__ β€³(0) = 2__Ξ»__ }. (Β© 2006 WILEY‐VC

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