Second Hankel Determinant of Bi-univalent Functions

Authors

  • Kiu Shu Huey Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Malaysia
  • Aini Janteng Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Malaysia
  • Jaludin Janteng Labuan Faculty of International Finance, Universiti Malaysia Sabah, Malaysia
  • Andy Liew Pik Hern Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Malaysia

DOI:

https://doi.org/10.11113/mjfas.v19n2.2807

Keywords:

Analytic functions, Bi-univalent functions, Second Hankel determinant, Subordination

Abstract

Let  be the class of functions which are analytic in the open unit disk and having the form . Denote  to be the class for all functions in  that are univalent in . Then, let  denote the class of bi-univalent functions in . In this paper, we obtain the second Hankel determinant for certain classes of analytic bi-univalent function which are defined by subordinations in the open unit disk . In particular, we determine the initial coefficients  and  and obtained the upper bound for the functional  of functions  in the classes of analytic bi-univalent function which are defined by subordinations in .

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Published

18-04-2023