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Mathematical Communications, Vol. 17 No. 2, 2012.

Original scientific paper

Upper bound for functions of bounded turning

Rabha Waell Ibrahim ; Institute of Mathematical Sciences, University Malaya, Kuala Lumpur, Malaysia

Full text: english pdf 110 Kb

page 461-468

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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

https://hrcak.srce.hr/93277

Publication date:

5.12.2012.

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