A Subclass of Harmonic Functions Related to a Convolution Operator
We introduce a new subclass of harmonic functions by using a certain linear operator. For this class we derive coefficient bounds, extreme points, and inclusion results and also show that this class is closed under an integral operator.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/7123907 |
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| _version_ | 1832560623414673408 |
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| author | Saqib Hussain Akhter Rasheed Maslina Darus |
| author_facet | Saqib Hussain Akhter Rasheed Maslina Darus |
| author_sort | Saqib Hussain |
| collection | DOAJ |
| description | We introduce a new subclass of harmonic functions by using a certain linear operator. For this class we derive coefficient bounds, extreme points, and inclusion results and also show that this class is closed under an integral operator. |
| format | Article |
| id | doaj-art-c5d309523b0c4b5399c731bba49397a2 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c5d309523b0c4b5399c731bba49397a22025-02-03T01:27:10ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/71239077123907A Subclass of Harmonic Functions Related to a Convolution OperatorSaqib Hussain0Akhter Rasheed1Maslina Darus2Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad Campus, Abbottabad, PakistanDepartment of Mathematics, COMSATS Institute of Information Technology, Abbottabad Campus, Abbottabad, PakistanSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaWe introduce a new subclass of harmonic functions by using a certain linear operator. For this class we derive coefficient bounds, extreme points, and inclusion results and also show that this class is closed under an integral operator.http://dx.doi.org/10.1155/2016/7123907 |
| spellingShingle | Saqib Hussain Akhter Rasheed Maslina Darus A Subclass of Harmonic Functions Related to a Convolution Operator Journal of Function Spaces |
| title | A Subclass of Harmonic Functions Related to a Convolution Operator |
| title_full | A Subclass of Harmonic Functions Related to a Convolution Operator |
| title_fullStr | A Subclass of Harmonic Functions Related to a Convolution Operator |
| title_full_unstemmed | A Subclass of Harmonic Functions Related to a Convolution Operator |
| title_short | A Subclass of Harmonic Functions Related to a Convolution Operator |
| title_sort | subclass of harmonic functions related to a convolution operator |
| url | http://dx.doi.org/10.1155/2016/7123907 |
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