Fekete-Szegö Problems for Quasi-Subordination Classes
An analytic function f is quasi-subordinate to an analytic function g, in the open unit disk if there exist analytic functions φ and w, with |φ(z)|≤1, w(0)=0 and |w(z)|<1 such that f(z)=φ(z)g(w(z)). Certain subclasses of analytic univalent functions associated with quasi-subordination are defined...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/192956 |
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| _version_ | 1832551949019381760 |
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| author | Maisarah Haji Mohd Maslina Darus |
| author_facet | Maisarah Haji Mohd Maslina Darus |
| author_sort | Maisarah Haji Mohd |
| collection | DOAJ |
| description | An analytic function f is quasi-subordinate to an analytic function g, in the open unit disk if there exist analytic functions φ and w, with |φ(z)|≤1, w(0)=0 and |w(z)|<1 such that f(z)=φ(z)g(w(z)). Certain subclasses of analytic univalent functions associated with quasi-subordination are defined and the bounds for the Fekete-Szegö coefficient functional |a3-μa22| for functions belonging to these subclasses are derived. |
| format | Article |
| id | doaj-art-5a7be1881a224ca994a53ddbc8b30e30 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5a7be1881a224ca994a53ddbc8b30e302025-02-03T06:00:04ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/192956192956Fekete-Szegö Problems for Quasi-Subordination ClassesMaisarah Haji Mohd0Maslina Darus1School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, MalaysiaAn analytic function f is quasi-subordinate to an analytic function g, in the open unit disk if there exist analytic functions φ and w, with |φ(z)|≤1, w(0)=0 and |w(z)|<1 such that f(z)=φ(z)g(w(z)). Certain subclasses of analytic univalent functions associated with quasi-subordination are defined and the bounds for the Fekete-Szegö coefficient functional |a3-μa22| for functions belonging to these subclasses are derived.http://dx.doi.org/10.1155/2012/192956 |
| spellingShingle | Maisarah Haji Mohd Maslina Darus Fekete-Szegö Problems for Quasi-Subordination Classes Abstract and Applied Analysis |
| title | Fekete-Szegö Problems for Quasi-Subordination Classes |
| title_full | Fekete-Szegö Problems for Quasi-Subordination Classes |
| title_fullStr | Fekete-Szegö Problems for Quasi-Subordination Classes |
| title_full_unstemmed | Fekete-Szegö Problems for Quasi-Subordination Classes |
| title_short | Fekete-Szegö Problems for Quasi-Subordination Classes |
| title_sort | fekete szego problems for quasi subordination classes |
| url | http://dx.doi.org/10.1155/2012/192956 |
| work_keys_str_mv | AT maisarahhajimohd feketeszegoproblemsforquasisubordinationclasses AT maslinadarus feketeszegoproblemsforquasisubordinationclasses |