Simple criteria for bounded turning of an analytic function

Tuneski, Nikola and Darus, Maslina and Karamazova Gelova, Elena (2012) Simple criteria for bounded turning of an analytic function. Advances in Mathematics: Scientific Journal, 1 (2). pp. 87-93. ISSN 1857-8365

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Abstract

Let f be an analytic function in the open unit disk and normalized such that f(0) = f′(0) − 1 = 0. In this work, by means of the theory of differential subordinations, we study the the expression � � f'(z) + � �f(z)/z and receive results over the modulus and the real parts of
f'(z) and f(z)/z,
that lead to simple criteria for bounded turning of an analytic function.

Item Type: Article
Subjects: Natural sciences > Matematics
Divisions: Faculty of Computer Science
Depositing User: Elena Karamazova Gelova
Date Deposited: 08 Oct 2014 12:43
Last Modified: 19 Dec 2022 12:49
URI: https://eprints.ugd.edu.mk/id/eprint/11076

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