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Coefficient Estimate of Biunivalent Functions of Complex Order Associated with the Hohlov Operator

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  • Z. Peng
  • G. Murugusundaramoorthy
  • T. Janani

Abstract

We introduce and investigate a new subclass of the function class of biunivalent functions of complex order defined in the open unit disk, which are associated with the Hohlov operator, satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients and for functions in this new subclass. Several, known or new, consequences of the results are also pointed out.

Suggested Citation

  • Z. Peng & G. Murugusundaramoorthy & T. Janani, 2014. "Coefficient Estimate of Biunivalent Functions of Complex Order Associated with the Hohlov Operator," Journal of Complex Analysis, Hindawi, vol. 2014, pages 1-6, April.
    • Handle: RePEc:hin:jnljca:693908
    DOI: 10.1155/2014/693908
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    Cited by:

    1. Abdullah Alsoboh & Ala Amourah & Maslina Darus & Rami Issa Al Sharefeen, 2023. "Applications of Neutrosophic q -Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions," Mathematics, MDPI, vol. 11(4), pages 1-10, February.
    2. Abdulmtalb Hussen & Abdelbaset Zeyani, 2023. "Coefficients and Fekete–Szegö Functional Estimations of Bi-Univalent Subclasses Based on Gegenbauer Polynomials," Mathematics, MDPI, vol. 11(13), pages 1-10, June.

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