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Radii Properties for Subclasses of Convex Functions

✍ Scribed by H. Silverman; E.M. Silvia


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
264 KB
Volume
194
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES


Radii of Convexity and Strong Starlikene
✍ A. Gangadharan; V. Ravichandran; T.N. Shanmugam πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 191 KB

Let z be an analytic function with positive real part on ⌬ s z; z -1 with Ž . Ž . 0 s 1, Ј 0 ) 0 which maps the unit disk ⌬ onto a region starlike with respect Ž . to 1 and symmetric with respect to the real axis. Let ST denote the class of Ž . Ž . Ž . Ž . Ž . Ž . analytic functions f z with f 0 s

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