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Region of Variability for Exponentially Convex Univalent Functions

✍ Scribed by Ponnusamy Saminathan; Vasudevarao Allu; M. Vuorinen

Book ID
107508791
Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
257 KB
Volume
5
Category
Article
ISSN
1661-8254

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📜 SIMILAR VOLUMES

Regions of variability for convex functi
Regions of variability for convex functions
✍ Hiroshi Yanagihara 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB

## Abstract Let 𝒞 be the class of convex univalent functions __f__ in the unit disc 𝔻 normalized by __f__ (0) = __f__ ′(0) – 1 = 0. For __z__ ~0~ ∈ 𝔻 and |__λ__ | ≤ 1 we shall determine explicitly the regions of variability {log __f__ ′(__z__ ~0~): __f__ ∈ 𝒞, __f__ ″(0) = 2__λ__ }. (© 2006 WILEY‐VC