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Starlikeness properties of a new integral operator for meromorphic functions. (English) Zbl 1223.30005

Summary: We define here an integral operator \(\mathcal H_{\gamma_{1},\dots,\gamma_{n}}\) for meromorphic functions in the punctured open unit disk. Several starlikeness conditions for the integral operator \(\mathcal H_{\gamma_{1},\dots,\gamma_{n}}\) are derived.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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References:

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