On fekete-szegö problems for a subclass of analytic functions
The aim of this paper is to determine the Fekete-Szegö inequalities for a normalised analytic function f (z) defined on the open unit disc for which z(Dλ1,λ2 ,δ m,b f (z))′ / (Dλ1,λ2 ,δ m,b f (z)),δ ,m,b ∈N0 ,λ2 ≥ λ1 ≥ 0 lies in a region starlike with respect to 1 and it is symmetric with respe...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2014
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| Online Access: | http://journalarticle.ukm.my/8291/ http://journalarticle.ukm.my/8291/ http://journalarticle.ukm.my/8291/1/jqma-10-1-paper2.pdf |
| Summary: | The aim of this paper is to determine the Fekete-Szegö inequalities for a
normalised analytic function f (z) defined on the open unit disc for which
z(Dλ1,λ2 ,δ
m,b f (z))′ / (Dλ1,λ2 ,δ
m,b f (z)),δ ,m,b ∈N0 ,λ2 ≥ λ1 ≥ 0 lies in a region starlike with respect to 1 and it
is symmetric with respect to the real axis by using the operator Dλ1,λ2 ,δ
m,b f (z) given recently by the
authors. As a special case of this result, Fekete-Szegö inequality for a class of functions defined
by fractional derivatives is also obtained. |
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