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Analytic mappings with negative coefficients in the unit disc
Published online by Cambridge University Press: 17 April 2009
Abstract
Let be analytic in the unit disc U(|z| <1) and let F(z) = (l-λ)f (Z) + λ(f(z)*h(z)) where with cn 's are known and are nonnegative, λ ≥ 0 In the present paper, using convolution methods we investigate the mapping properties of F(z) when f(z) belongs respectively to several subclasses of analytic functions with negative coefficients.
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- Copyright © Australian Mathematical Society 1984
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