Communications of the Korean Mathematical Society (대한수학회논문집)

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UPPER BOUND OF SECOND HANKEL DETERMINANT FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER

  • Mustafa, Nizami (Department of Mathematics Faculty of Science and Letters Kafkas University)
  • Received : 2018.05.14
  • Accepted : 2018.10.12
  • Published : 2019.07.31
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Abstract

In this paper, we introduce and investigate a subclass ${\Im}_{\Sigma}({\alpha},{\beta},{\gamma})$ of analytic and bi-univalent functions of complex order in the open unit disk U in complex plane. Here, we obtain an upper bound for the second Hankel determinant of the functions belonging to this class. Moreover, several interesting conclusions of the results obtained here are also discussed.

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References

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