Coefficient inequality for certain subclasses of univalent functions
Let f (z)= z+ ∑_(n=2)^∞▒〖a_n z^n 〗 an analytic and univalent function in the unit disk D = {z├∶┤|├ z┤| z < ├ 1}. The purpose of the present paper is to introduce the functional |a_4-μa^(2/3) | when µ is real. We give sharp upper bounds for |a_4-μa^(2/3) | for certain subclasses of univalent fu...
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| Format: | Article |
| Language: | English English |
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Pushpa Publishing House
2005
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| Online Access: | https://eprints.ums.edu.my/id/eprint/33568/2/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/33568/1/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.pdf |
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| author | Aini Janteng Suzeini Abdul Halim Maslina Darus |
| author_facet | Aini Janteng Suzeini Abdul Halim Maslina Darus |
| author_sort | Aini Janteng |
| collection | UMS |
| description | Let f (z)= z+ ∑_(n=2)^∞▒〖a_n z^n 〗 an analytic and univalent function in the unit disk D = {z├∶┤|├ z┤| z < ├ 1}. The purpose of the present paper is to introduce the functional |a_4-μa^(2/3) | when µ is real. We give sharp upper bounds for |a_4-μa^(2/3) | for certain subclasses of univalent functions. The results obtained are sharp. |
| first_indexed | 2024-03-06T03:18:38Z |
| format | Article |
| id | ums.eprints-33568 |
| institution | Universiti Malaysia Sabah |
| language | English English |
| last_indexed | 2024-03-06T03:18:38Z |
| publishDate | 2005 |
| publisher | Pushpa Publishing House |
| record_format | dspace |
| spelling | ums.eprints-335682022-08-01T06:19:33Z https://eprints.ums.edu.my/id/eprint/33568/ Coefficient inequality for certain subclasses of univalent functions Aini Janteng Suzeini Abdul Halim Maslina Darus QA1-939 Mathematics Let f (z)= z+ ∑_(n=2)^∞▒〖a_n z^n 〗 an analytic and univalent function in the unit disk D = {z├∶┤|├ z┤| z < ├ 1}. The purpose of the present paper is to introduce the functional |a_4-μa^(2/3) | when µ is real. We give sharp upper bounds for |a_4-μa^(2/3) | for certain subclasses of univalent functions. The results obtained are sharp. Pushpa Publishing House 2005-10 Article PeerReviewed text en https://eprints.ums.edu.my/id/eprint/33568/2/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.ABSTRACT.pdf text en https://eprints.ums.edu.my/id/eprint/33568/1/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.pdf Aini Janteng and Suzeini Abdul Halim and Maslina Darus (2005) Coefficient inequality for certain subclasses of univalent functions. Far East Journal of Mathematical Sciences (FJMS), 19. pp. 1-10. ISSN 0972-0871 http://www.pphmj.com/abstract/472.htm |
| spellingShingle | QA1-939 Mathematics Aini Janteng Suzeini Abdul Halim Maslina Darus Coefficient inequality for certain subclasses of univalent functions |
| title | Coefficient inequality for certain subclasses of univalent functions |
| title_full | Coefficient inequality for certain subclasses of univalent functions |
| title_fullStr | Coefficient inequality for certain subclasses of univalent functions |
| title_full_unstemmed | Coefficient inequality for certain subclasses of univalent functions |
| title_short | Coefficient inequality for certain subclasses of univalent functions |
| title_sort | coefficient inequality for certain subclasses of univalent functions |
| topic | QA1-939 Mathematics |
| url | https://eprints.ums.edu.my/id/eprint/33568/2/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/33568/1/Coefficient%20inequality%20for%20certain%20subclasses%20of%20univalent%20functions.pdf |
| work_keys_str_mv | AT ainijanteng coefficientinequalityforcertainsubclassesofunivalentfunctions AT suzeiniabdulhalim coefficientinequalityforcertainsubclassesofunivalentfunctions AT maslinadarus coefficientinequalityforcertainsubclassesofunivalentfunctions |