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A Bi-Starlike Class in a Leaf-like Domain Defined through Subordination via q ̧ -Calculus

Author

Listed:
  • Ala Amourah

    (Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman
    Jadara University Research Center, Jadara University, Irbid 21110, Jordan)

  • Abdullah Alsoboh

    (Department of Mathematics, Faculty of Science, Philadelphia University, Amman 19392, Jordan)

  • Daniel Breaz

    (Department of Mathematics, “1 Decembrie 1918” University of Alba Iulia, RC-510009 Alba Iulia, Romania)

  • Sheza M. El-Deeb

    (Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
    Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt)

Abstract

Bi-univalent functions associated with the leaf-like domain within the open unit disk 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 be not 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

  • Ala Amourah & Abdullah Alsoboh & Daniel Breaz & Sheza M. El-Deeb, 2024. "A Bi-Starlike Class in a Leaf-like Domain Defined through Subordination via q ̧ -Calculus," Mathematics, MDPI, vol. 12(11), pages 1-13, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:11:p:1735-:d:1407659
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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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    1. 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.

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