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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Weakly starlike meromorphic univalent functions. II


Author: Albert E. Livingston
Journal: Proc. Amer. Math. Soc. 62 (1977), 47-53
MSC: Primary 30A32
DOI: https://doi.org/10.1090/S0002-9939-1977-0435376-X
MathSciNet review: 0435376
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Abstract: A function $ f(z)$ is said to be meromorphic weakly starlike if it has the form $ f(z) = - \rho zF(Z)/(z - \rho )(1 - \rho z)$ for $ 0 < \rho < 1$ where $ F(z)$ is a member of $ {\Sigma ^\ast}$, the class of meromorphic, normalized starlike univalent functions. The coefficients of the power series expansion in $ \vert z\vert < \rho $ of a meromorphic weakly starlike function are studied. The integral means of such functions are also discussed.


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DOI: https://doi.org/10.1090/S0002-9939-1977-0435376-X
Article copyright: © Copyright 1977 American Mathematical Society

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