Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2012, Special Issue (2012), Article ID 820696, 10 pages.
A Note on the Class of Functions with Bounded Turning
We consider subclasses of functions with bounded turning for normalized analytic functions in the unit disk. The geometric representation is introduced, some subordination relations are suggested, and the upper bound of the pre-Schwarzian norm for these functions is computed. Moreover, by employing Jack's lemma, we obtain a convex class in the class of functions of bounded turning and relations with other classes are posed.
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 820696, 10 pages.
First available in Project Euclid: 5 April 2013
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Ibrahim, Rabha W.; Kılıçman, Adem. A Note on the Class of Functions with Bounded Turning. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 820696, 10 pages. doi:10.1155/2012/820696. https://projecteuclid.org/euclid.aaa/1365125169