Starlikeness of general integral operator for meromorphic multivalent functions. (English) Zbl 1268.30019

Goswami, Pranay; Bulut, Serap

J. Complex Anal. 2013, Article ID 690584, 4 p. (2013).

Summary: We introduce a new integral operator \[ \mathcal I^p_{\gamma, \delta}(f_1, \dots, f_n) \] for meromorphic multivalent functions. The starlikeness condition of this integral operator is determined. Several special cases are also discussed in the form of corollaries.

MSC:

30C45

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

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