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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |