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 $|z| < \rho$ of a meromorphic weakly starlike function are studied. The integral means of such functions are also discussed.
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Article copyright:
© Copyright 1977
American Mathematical Society
