Simple Search:

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


Citation

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).

Abstract / Synopsis

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.


Download File

[img]
Preview
PDF (Abstract)
Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator.pdf

Download (47kB) | Preview

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4972164
Publisher: AIP Publishing
Keywords: Analytic functions; Convex function; Hadamard product; Jack's lemma; Linear operator; Moment-Generating function; Starlike function
Depositing User: Nabilah Mustapa
Date Deposited: 27 Sep 2017 06:36
Last Modified: 27 Sep 2017 06:36
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4972164
URI: http://psasir.upm.edu.my/id/eprint/57375
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item