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Analytic mappings with negative coefficients in the unit disc

Published online by Cambridge University Press:  17 April 2009

M.L. Mogra
M.L. Mogra
Affiliation:
School of Mathematical Sciences, University of Khartoum, P0 Box 321, Khartoum, Sudan.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 29 , Issue 1 , February 1984 , pp. 83 - 91
Copyright
Copyright © Australian Mathematical Society 1984

References

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