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A note on the class of functions with bounded turning


Citation

Ibrahim, Rabha Waell and Kilicman, Adem (2012) A note on the class of functions with bounded turning. Abstract and Applied Analysis, 2012. art. no. 820696. pp. 1-10. ISSN 1085-3375; ESSN: 1687-0409

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1155/2012/820696
Publisher: Hindawi Publishing Corporation
Keywords: Analytic function; Univalent functions
Depositing User: Nur Farahin Ramli
Date Deposited: 25 Nov 2013 08:22
Last Modified: 19 Oct 2017 09:09
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2012/820696
URI: http://psasir.upm.edu.my/id/eprint/25235
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