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Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator

Abdulnaby, Zainab Esa and Ibrahim, Rabha Waell and Kilicman, Adem (2016) Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. pp. 1-6.

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Abstract

The theory of functional operator has been employed in several areas of mathematics, especially in the geometric function theory in the open unit disk. By utilizing the Moment-Generating function, we define a new fractional linear operator in the open unit disk. We discuss some geometric properties of this operator on some subclasses by applying the concept Jack’s lemma.

Item Type:Conference or Workshop Item (Paper)
Keyword:Analytic functions; Convex function; Hadamard product; Jack's lemma; Linear operator; Moment-Generating function; Starlike function
Faculty or Institute:Faculty of Science
Institute for Mathematical Research
Publisher:AIP Publishing
DOI Number:10.1063/1.4972164
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4972164
ID Code:57375
Deposited By: Nabilah Mustapa
Deposited On:27 Sep 2017 14:36
Last Modified:27 Sep 2017 14:36

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