Class with negative coefficients and convex with respect to symmetric points
Let C_s T(A,B) denote the class of functions f(z)=z-∑_(n=2)^∞ a_n z^n which are analytic in an open unit disc D={z:|z|<1} and satisfying the condition (2(zf^' (z))^')/((f(z)-f(-z))^' )≺(1+Az)/(1+Bz),-1≤B<A≤1,z∈D. The aims of paper are to determine coefficient estimates and disto...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English English |
| Published: |
Hikari Ltd
2010
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| Subjects: | |
| Online Access: | https://eprints.ums.edu.my/id/eprint/33660/3/Class%20with%20negative%20coefficients%20and%20convex%20with%20respect%20to%20symmetric%20points.ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/33660/2/Class%20with%20negative%20coefficients%20and%20convex%20with%20respect%20to%20symmetric%20points.pdf https://eprints.ums.edu.my/id/eprint/33660/ http://www.m-hikari.com/ijcms-password2008/9-12-2008/jantengIJCMS9-12-2008-2.pdf |
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| Institution: | Universiti Malaysia Sabah |
| Language: | English English |
| Summary: | Let C_s T(A,B) denote the class of functions f(z)=z-∑_(n=2)^∞ a_n z^n which are analytic in an open unit disc D={z:|z|<1} and satisfying the condition (2(zf^' (z))^')/((f(z)-f(-z))^' )≺(1+Az)/(1+Bz),-1≤B<A≤1,z∈D. The aims of paper are to determine coefficient estimates and distortion bounds for the class C_s T(A,B). |
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