Abstract
For a fixed analytic univalent function $\phi$, the class of meromorphic univalent $\alpha$-convex functions with respect to $\phi$ is introduced. A representation theorem for functions in the class, as well as a necessary and sufficient condition for functions to belong to the class are obtained. Also we obtain a sharp growth theorem and estimate on a certain coefficient functional for meromorphic starlike functions with respect to $\phi$. Differential subordination and superordination conditions are also obtained for the subclass of meromorphic starlike functions with respect to $\phi$.
Citation
Rosihan M. Ali. V. Ravichandran. "CLASSES OF MEROMORPHIC α-CONVEX FUNCTIONS." Taiwanese J. Math. 14 (4) 1479 - 1490, 2010. https://doi.org/10.11650/twjm/1500405962
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