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Geometric Properties of a New Integral Operator

Author(s): Roberta Bucur , Loriana Andrei , Daniel Breaz

Publication date Created: 2015

Publication date (Print): 2015

Journal: Abstract and Applied Analysis

Publisher: Hindawi Limited

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Abstract

We obtain sufficient conditions for the univalence, starlikeness, and convexity of a new integral operator defined on the space of normalized analytic functions in the open unit disk. Some subordination results for the new integral operator are also given. Several corollaries follow as special cases.

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Most cited references 7

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On certain analytic univalent functions

M. Darus, B. A. Frasin (2001)

We consider the class of analytic functions $B(\alpha)\(to investigate some properties for this class. The angular estimates of functions in the class \)B(\alpha)\(are obtained. Finally, we derive some interesting conditions for the class of strongly starlike and strongly convex of order \)\alpha$ in the open unit disk.

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Univalence of the Integral of f ′(z)λ

J. Pfaltzgraff (1975)

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A Convexity Property for an Integral Operator on the Class SP(β)

Daniel Breaz (2008)

0 comments Cited 3 times – based on 0 reviews      Review now

Author and article information

Journal

Title: Abstract and Applied Analysis

Abbreviated Title: Abstract and Applied Analysis

Publisher: Hindawi Limited

ISSN (Print): 1085-3375

ISSN (Electronic): 1687-0409

Publication date Created: 2015

Publication date (Print): 2015

Volume: 2015

Issue:

Pages: 1-6

Article

DOI: 10.1155/2015/430197

SO-VID: 6298ff00-e831-45e3-8c65-ad89dd77f5e6

Copyright © © 2015

License:

http://creativecommons.org/licenses/by/3.0/

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