Article ID Journal Published Year Pages File Type
1710097 Applied Mathematics Letters 2009 5 Pages PDF
Abstract

Let AA be the class of analytic functions in the unit disc that are of the form f(z)=z+a2z2+⋯f(z)=z+a2z2+⋯. In this work the expressions f′(z)−(1−γ)f(z)/zf′(z)−(1−γ)f(z)/z and zf″(z)−γf′(z),0<γ≤1zf″(z)−γf′(z),0<γ≤1, are studied, as sufficient conditions for starlikeness and convexity.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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