Title of article :
On a Subclass of Univalent Functions Defined by Multiplier Transformations
Author/Authors :
Atshan ، Waggas Galib - University of Al-Qadisiya , Mohammed ، Thamer Khalil - University of Al-Mustansirya
Pages :
15
From page :
71
To page :
85
Abstract :
In the present paper, we introduce a subclass of univalent functions with positive coefficients defined by multiplier transformations in the open unit disk U={z ∈ ℂ: |z| 1}. We obtain some geometric properties, like coefficient inequality, closure theorem, neighborhoods for the subclass WA(l,α,m,η,γ_1,γ_2,λ), radii of starlikeness, convexity and close-to-convexity, weighted mean, arithmetic mean, linear combination and integral representation.
Keywords :
Univalent function , Multiplier transformations , Neighborhoods , Radius of starlikeness , Weighted mean , Arithmetic mean , Linear combination , Closure Theorem , Integral representation
Journal title :
General Mathematics Notes
Serial Year :
2014
Journal title :
General Mathematics Notes
Record number :
2457609
Link To Document :
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