Original scientific paper
Upper bound for functions of bounded turning
Rabha Waell Ibrahim
; Institute of Mathematical Sciences, University Malaya, Kuala Lumpur, Malaysia
Abstract
For normalized analytic functions in the unit disk, we consider
subclasses of bounded turning. The geometric representation is
introduced, the radii of convexity (close to convex) are calculated
and some subordination relations are suggested. Moreover, the upper
bound of the pre-Schwarzian norm for these functions is computed.
Keywords
analytic function; univalent functions; starlike functions; unit disk; subordination; superordination; bounded turning function; pre-Schwarzian derivative; radii of convexity; upper bound; Hadamard product (convolution product); convex function; close to convex; Jack's Lemma
Hrčak ID:
93277
URI
Publication date:
5.12.2012.
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