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Applications of ( M , N )-Lucas Polynomials on a Certain Family of Bi-Univalent Functions

Author

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  • Abbas Kareem Wanas

    (Department of Mathematics, College of Science, University of Al-Qadisiyah, Al-Qadisiyah 58001, Iraq)

  • Luminiţa-Ioana Cotîrlă

    (Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania)

Abstract

In the current article, making use of certain operator, we initiate and explore a certain family W Σ ( λ , γ , σ , δ , α , β , p , q ; h ) of holomorphic and bi-univalent functions in the open unit disk D . We establish upper bounds for the initial Taylor–Maclaurin coefficients and the Fekete–Szegö type inequality for functions in this family.

Suggested Citation

  • Abbas Kareem Wanas & Luminiţa-Ioana Cotîrlă, 2022. "Applications of ( M , N )-Lucas Polynomials on a Certain Family of Bi-Univalent Functions," Mathematics, MDPI, vol. 10(4), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:595-:d:749435
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    References listed on IDEAS

    as
    1. Chinnaswamy Abirami & Nanjundan Magesh & Jagadeesan Yamini, 2020. "Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-8, January.
    2. Ágnes Orsolya Páll-Szabó & Georgia Irina Oros, 2020. "Coefficient Related Studies for New Classes of Bi-Univalent Functions," Mathematics, MDPI, vol. 8(7), pages 1-13, July.
    3. F. M. Al-Oboudi, 2004. "On univalent functions defined by a generalized Sălăgean operator," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-8, January.
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    Cited by:

    1. Daniel Breaz & Abbas Kareem Wanas & Fethiye Müge Sakar & Seher Melike Aydoǧan, 2023. "On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers," Mathematics, MDPI, vol. 11(15), pages 1-8, July.
    2. Sondekola Rudra Swamy & Daniel Breaz & Kala Venugopal & Mamatha Paduvalapattana Kempegowda & Luminita-Ioana Cotîrlă & Eleonora Rapeanu, 2024. "Initial Coefficient Bounds Analysis for Novel Subclasses of Bi-Univalent Functions Linked with Lucas-Balancing Polynomials," Mathematics, MDPI, vol. 12(9), pages 1-15, April.

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