Weakly starlike meromorphic univalent functions. II

Livingston, Albert E.

doi:10.1090/S0002-9939-1977-0435376-X

Weakly starlike meromorphic univalent functions. II
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by Albert E. Livingston

Proc. Amer. Math. Soc. 62 (1977), 47-53

DOI: https://doi.org/10.1090/S0002-9939-1977-0435376-X

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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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