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A Class of Bi-Univalent Functions in a Leaf-Like Domain Defined through Subordination via q ̧ -Calculus

Author

Listed:
  • Abdullah Alsoboh

    (Department of Mathematics, Faculty of Science, Philadelphia University, Amman 19392, Jordan
    These authors contributed equally to this work.)

  • Georgia Irina Oros

    (Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania
    These authors contributed equally to this work.)

Abstract

Bi-univalent functions associated with the leaf-like domain within open unit disks are investigated, and a new subclass is introduced and studied in the research presented here. This is achieved by applying the subordination principle for analytic functions in conjunction with q -calculus. The class is proved to not be empty. By proving its existence, generalizations can be given to other sets of functions. In addition, coefficient bounds are examined with a particular focus on | α 2 | and | α 3 | coefficients, and Fekete–Szegö inequalities are estimated for the functions in this new class. To support the conclusions, previous works are cited for confirmation.

Suggested Citation

  • Abdullah Alsoboh & Georgia Irina Oros, 2024. "A Class of Bi-Univalent Functions in a Leaf-Like Domain Defined through Subordination via q ̧ -Calculus," Mathematics, MDPI, vol. 12(10), pages 1-15, May.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:10:p:1594-:d:1397990
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    References listed on IDEAS

    as
    1. Abdullah Alsoboh & Ala Amourah & Maslina Darus & Carla Amoi Rudder, 2023. "Studying the Harmonic Functions Associated with Quantum Calculus," Mathematics, MDPI, vol. 11(10), pages 1-11, May.
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