A Note on the Class of Functions with Bounded Turning-Reference-Cited by-同舟云学术

A Note on the Class of Functions with Bounded Turning

Published:2012 Issue: Volume:2012 Page:1-10
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ibrahim Rabha W.¹,Kılıçman Adem²

Affiliation:

1. Institute of Mathematical Sciences, University Malaya, 50603 Kuala Lumpur, Malaysia

2. Department of Mathematics, University of Putra Malaysia, 43400 Serdang, Selangor, Malaysia

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.

Funder

Universiti Malaya

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/820696.pdf

Reference11 articles.

1. NORM ESTIMATES OF THE PRE-SCHWARZIAN DERIVATIVES FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS

2. Norm estimates for the Bernardi integral transforms of functions defined by subordination

3. General Properties for Volterra-Type Operators in the Unit Disk

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