Abstract and Applied Analysis

A Note on the Class of Functions with Bounded Turning

Rabha W. Ibrahim and Adem Kılıçman

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 820696, 10 pages.

Dates
First available in Project Euclid: 5 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1365125169

Digital Object Identifier
doi:10.1155/2012/820696

Mathematical Reviews number (MathSciNet)
MR2910719

Zentralblatt MATH identifier
1237.30004

Citation

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


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References

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