Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator
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...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57375/1/Jack%27s%20lemma%20for%20certain%20subclasses%20of%20analytic%20functions%20defined%20by%20a%20new%20fractional%20linear%20operator.pdf |
| _version_ | 1825931600081190912 |
|---|---|
| author | Abdulnaby, Zainab Esa Ibrahim, Rabha Waell Kilicman, Adem |
| author_facet | Abdulnaby, Zainab Esa Ibrahim, Rabha Waell Kilicman, Adem |
| author_sort | Abdulnaby, Zainab Esa |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T09:29:11Z |
| format | Conference or Workshop Item |
| id | upm.eprints-57375 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:29:11Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| record_format | dspace |
| spelling | upm.eprints-573752017-09-27T06:36:56Z http://psasir.upm.edu.my/id/eprint/57375/ Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator Abdulnaby, Zainab Esa Ibrahim, Rabha Waell Kilicman, Adem 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. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57375/1/Jack%27s%20lemma%20for%20certain%20subclasses%20of%20analytic%20functions%20defined%20by%20a%20new%20fractional%20linear%20operator.pdf 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). 10.1063/1.4972164 |
| spellingShingle | Abdulnaby, Zainab Esa Ibrahim, Rabha Waell Kilicman, Adem Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator |
| title | Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator |
| title_full | Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator |
| title_fullStr | Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator |
| title_full_unstemmed | Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator |
| title_short | Jack's lemma for certain subclasses of analytic functions defined by a new fractional linear operator |
| title_sort | jack s lemma for certain subclasses of analytic functions defined by a new fractional linear operator |
| url | http://psasir.upm.edu.my/id/eprint/57375/1/Jack%27s%20lemma%20for%20certain%20subclasses%20of%20analytic%20functions%20defined%20by%20a%20new%20fractional%20linear%20operator.pdf |
| work_keys_str_mv | AT abdulnabyzainabesa jackslemmaforcertainsubclassesofanalyticfunctionsdefinedbyanewfractionallinearoperator AT ibrahimrabhawaell jackslemmaforcertainsubclassesofanalyticfunctionsdefinedbyanewfractionallinearoperator AT kilicmanadem jackslemmaforcertainsubclassesofanalyticfunctionsdefinedbyanewfractionallinearoperator |