Weakly starlike meromorphic univalent functions

Libera, Richard J.; Livingston, Albert E.

doi:10.1090/S0002-9947-1975-0361036-2

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 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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