On Sakaguchi-Type Harmonic Univalent Functions

نویسندگان

  • Elif Yaşar
  • Sibel Yalçın
چکیده

We consider the Sakaguchi functions which are starlike with respect to symmetrical points in the open unit disk U and extend it to class SH(α, t) concerning with Sakaguchi-type complex-valued harmonic univalent functions in U. A sufficient coefficient condition and a necessary and sufficient convolution characterization for such harmonic functions are determined. In addition, by using the coefficient inequality, a subclass of SH(α, t) and a new class FH(α, t) are defined. Distortion bounds and other properties are investigated for the class FH(α, t).

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تاریخ انتشار 2012