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Bounds for Two New Subclasses of Bi-Univalent Functions Associated with Legendre Polynomials

Author

Listed:
  • Abdel Moneim Y. Lashin

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Abeer O. Badghaish

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

  • Amani Z. Bajamal

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia)

Abstract

In this article, two new subclasses of the bi-univalent function class σ related with Legendre polynomials are presented. Additionally, the first two Taylor–Maclaurin coefficients a 2 and a 3 for the functions belonging to these new subclasses are estimated.

Suggested Citation

  • Abdel Moneim Y. Lashin & Abeer O. Badghaish & Amani Z. Bajamal, 2021. "Bounds for Two New Subclasses of Bi-Univalent Functions Associated with Legendre Polynomials," Mathematics, MDPI, vol. 9(24), pages 1-9, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3188-:d:700012
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    References listed on IDEAS

    as
    1. N. Magesh & T. Rosy & S. Varma, 2013. "Coefficient Estimate Problem for a New Subclass of Biunivalent Functions," Journal of Complex Analysis, Hindawi, vol. 2013, pages 1-3, October.
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