On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator
In this article, a new class of harmonic univalent functions, defined by the differential operator, is introduced. Some geometric properties, like, coefficient estimates, extreme points, convex combination and convolution (Hadamard product) are obtained.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/6/12/312 |
| _version_ | 1818019334708002816 |
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| author | Aqeel Ketab AL-khafaji Waggas Galib Atshan Salwa Salman Abed |
| author_facet | Aqeel Ketab AL-khafaji Waggas Galib Atshan Salwa Salman Abed |
| author_sort | Aqeel Ketab AL-khafaji |
| collection | DOAJ |
| description | In this article, a new class of harmonic univalent functions, defined by the differential operator, is introduced. Some geometric properties, like, coefficient estimates, extreme points, convex combination and convolution (Hadamard product) are obtained. |
| first_indexed | 2024-04-14T07:50:55Z |
| format | Article |
| id | doaj.art-855ca81fd0e54399afab7c65dbec5c70 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-14T07:50:55Z |
| publishDate | 2018-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-855ca81fd0e54399afab7c65dbec5c702022-12-22T02:05:12ZengMDPI AGMathematics2227-73902018-12-0161231210.3390/math6120312math6120312On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential OperatorAqeel Ketab AL-khafaji0Waggas Galib Atshan1Salwa Salman Abed2Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babylon 51002, IraqDepartment of Mathematics, College of Computer Science & Information Technology, The University of Al-Qadisiyah, Al Diwaniyah 58002, IraqDepartment of Mathematics, College of Education for Pure Sciences—Ibn Al-Haytham, The University of Baghdad, Baghdad 10071, IraqIn this article, a new class of harmonic univalent functions, defined by the differential operator, is introduced. Some geometric properties, like, coefficient estimates, extreme points, convex combination and convolution (Hadamard product) are obtained.https://www.mdpi.com/2227-7390/6/12/312harmonic univalent functioncoefficient inequalityextreme pointsconvex combinationHadamard product |
| spellingShingle | Aqeel Ketab AL-khafaji Waggas Galib Atshan Salwa Salman Abed On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator Mathematics harmonic univalent function coefficient inequality extreme points convex combination Hadamard product |
| title | On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator |
| title_full | On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator |
| title_fullStr | On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator |
| title_full_unstemmed | On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator |
| title_short | On the Generalization of a Class of Harmonic Univalent Functions Defined by Differential Operator |
| title_sort | on the generalization of a class of harmonic univalent functions defined by differential operator |
| topic | harmonic univalent function coefficient inequality extreme points convex combination Hadamard product |
| url | https://www.mdpi.com/2227-7390/6/12/312 |
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