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Fekete–Szegö Functional Problem for a Special Family of m -Fold Symmetric Bi-Univalent Functions

Author

Listed:
  • Sondekola Rudra Swamy

    (Department of Computer Science and Engineering, RV College of Engineering, Bengaluru 560 059, India)

  • Basem Aref Frasin

    (Department of Mathematics, Faculty of Science, Al Al-Bayt University, Mafraq 25113, Jordan)

  • Ibtisam Aldawish

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad IBN Saud Islamic University, Riyadh 11623, Saudi Arabia)

Abstract

In the current work, we introduce a special family of the function family of analytic and m-fold symmetric bi-univalent functions and obtain estimates of the Taylor–Maclaurin coefficients | d m + 1 | and | d 2 m + 1 | for functions in the special family. For δ a real number, Fekete–Szegö functional | d 2 m + 1 − δ d m + 1 2 | for functions in the special family is also estimated. We indicate several cases of the defined family and connections to existing results are also discussed.

Suggested Citation

  • Sondekola Rudra Swamy & Basem Aref Frasin & Ibtisam Aldawish, 2022. "Fekete–Szegö Functional Problem for a Special Family of m -Fold Symmetric Bi-Univalent Functions," Mathematics, MDPI, vol. 10(7), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:7:p:1165-:d:786470
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    References listed on IDEAS

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    1. Georgia Irina Oros & Luminiţa-Ioana Cotîrlă, 2022. "Coefficient Estimates and the Fekete–Szegö Problem for New Classes of m -Fold Symmetric Bi-Univalent Functions," Mathematics, MDPI, vol. 10(1), pages 1-12, January.
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    Cited by:

    1. Suha B. Al-Shaikh & Khaled Matarneh & Ahmad A. Abubaker & Mohammad Faisal Khan, 2023. "Sharp Coefficient Bounds for a New Subclass of Starlike Functions of Complex Order γ Associated with Cardioid Domain," Mathematics, MDPI, vol. 11(9), pages 1-20, April.

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