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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Weakly starlike meromorphic univalent functions


Authors: Richard J. Libera and Albert E. Livingston
Journal: Trans. Amer. Math. Soc. 202 (1975), 181-191
MSC: Primary 30A32
DOI: https://doi.org/10.1090/S0002-9947-1975-0361036-2
MathSciNet review: 0361036
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Abstract: A weakly starlike meromorphic univalent function is one of the form $ f(z) = - \rho zg(z){[(z - \rho )(1 - \rho z)]^{ - 1}}$ for $ 0 < \rho < 1$ and $ g(z)$ a meromorphic starlike function. The behavior of coefficients and growth of this class of functions and of a subset are studied.


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DOI: https://doi.org/10.1090/S0002-9947-1975-0361036-2
Article copyright: © Copyright 1975 American Mathematical Society

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