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On The Upper Bound Estimates for the Coefficients of Certain Class Bi-Univalent Functions of Complex Order

Author

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  • Nizami Mustafa

    (Department of Mathematics, Faculty of Science and Letters, Kafkas University, Kars, Turkey)

Abstract

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions of complex order in the unit disk in complex plane. We obtain upper bound estimates for the initial three coefficients of the functions belonging to this class. In this study, the Fekete-Szegö problem for this function class is also investigated.

Suggested Citation

  • Nizami Mustafa, 2019. "On The Upper Bound Estimates for the Coefficients of Certain Class Bi-Univalent Functions of Complex Order," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 5(7), pages 101-113, 07-2019.
    • Handle: RePEc:arp:ajoams:2019:p:101-113
    DOI: 10.32861/ajams.57.101.113
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    References listed on IDEAS

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    1. Paweł Zaprawa, 2014. "Estimates of Initial Coefficients for Bi-Univalent Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, May.
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