Properties of harmonic functions which are starlike of complex order with repect to symmetric points
Let H denote the class of functions f which are harmonic, orientation preserving and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the funct...
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| Format: | Article |
| Language: | English English |
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Hikari Ltd
2009
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| Online Access: | https://eprints.ums.edu.my/id/eprint/33623/1/Properties%20of%20harmonic%20functions%20which%20are%20starlike%20of%20complex%20order%20with%20repect%20to%20symmetric%20points.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/33623/2/Properties%20of%20harmonic%20functions%20which%20are%20starlike%20of%20complex%20order%20with%20respect%20to%20the%20symmetric%20points.pdf |
| _version_ | 1825714910595645440 |
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| author | Aini Janteng Suzeini Abdul Halim |
| author_facet | Aini Janteng Suzeini Abdul Halim |
| author_sort | Aini Janteng |
| collection | UMS |
| description | Let H denote the class of functions f which are harmonic, orientation preserving and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions starlike of complex order with respect to symmetric points. The authors obtain extreme points, convolution and convex combination properties. |
| first_indexed | 2024-03-06T03:18:46Z |
| format | Article |
| id | ums.eprints-33623 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:18:46Z |
| publishDate | 2009 |
| publisher | Hikari Ltd |
| record_format | dspace |
| spelling | ums.eprints-336232022-08-02T03:55:39Z https://eprints.ums.edu.my/id/eprint/33623/ Properties of harmonic functions which are starlike of complex order with repect to symmetric points Aini Janteng Suzeini Abdul Halim QA1-939 Mathematics Let H denote the class of functions f which are harmonic, orientation preserving and univalent in the open unit disc D = {z : |z| < 1}. This paper defines and investigates a family of complex-valued harmonic functions that are orientation preserving and univalent in D and are related to the functions starlike of complex order with respect to symmetric points. The authors obtain extreme points, convolution and convex combination properties. Hikari Ltd 2009-07 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/33623/1/Properties%20of%20harmonic%20functions%20which%20are%20starlike%20of%20complex%20order%20with%20repect%20to%20symmetric%20points.ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/33623/2/Properties%20of%20harmonic%20functions%20which%20are%20starlike%20of%20complex%20order%20with%20respect%20to%20the%20symmetric%20points.pdf Aini Janteng and Suzeini Abdul Halim (2009) Properties of harmonic functions which are starlike of complex order with repect to symmetric points. International Journal of Contemporary Mathematical Sciences, 4 (6). pp. 275-281. ISSN 1312-7586 http://m-hikari.com/ijcms-password2009/5-8-2009/jantengIJCMS5-8-2009.pdf |
| spellingShingle | QA1-939 Mathematics Aini Janteng Suzeini Abdul Halim Properties of harmonic functions which are starlike of complex order with repect to symmetric points |
| title | Properties of harmonic functions which are starlike of complex order with repect to symmetric points |
| title_full | Properties of harmonic functions which are starlike of complex order with repect to symmetric points |
| title_fullStr | Properties of harmonic functions which are starlike of complex order with repect to symmetric points |
| title_full_unstemmed | Properties of harmonic functions which are starlike of complex order with repect to symmetric points |
| title_short | Properties of harmonic functions which are starlike of complex order with repect to symmetric points |
| title_sort | properties of harmonic functions which are starlike of complex order with repect to symmetric points |
| topic | QA1-939 Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/33623/1/Properties%20of%20harmonic%20functions%20which%20are%20starlike%20of%20complex%20order%20with%20repect%20to%20symmetric%20points.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/33623/2/Properties%20of%20harmonic%20functions%20which%20are%20starlike%20of%20complex%20order%20with%20respect%20to%20the%20symmetric%20points.pdf |
| work_keys_str_mv | AT ainijanteng propertiesofharmonicfunctionswhicharestarlikeofcomplexorderwithrepecttosymmetricpoints AT suzeiniabdulhalim propertiesofharmonicfunctionswhicharestarlikeofcomplexorderwithrepecttosymmetricpoints |