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On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers

Author

Listed:
  • Daniel Breaz

    (Department of Mathematics, “1 Decembrie 1918” University of Alba-Iulia, 510009 Alba Iulia, Romania
    These authors contributed equally to this work.)

  • Abbas Kareem Wanas

    (Department of Mathematics, University of Al-Qadisiyah, Al Diwaniyah 58001, Al-Qadisiyah, Iraq
    These authors contributed equally to this work.)

  • Fethiye Müge Sakar

    (Department of Management, Dicle University, Diyarbakir 21280, Turkey
    These authors contributed equally to this work.)

  • Seher Melike Aydoǧan

    (Department of Mathematics, Istanbul Technical University, Istanbul 34469, Turkey
    These authors contributed equally to this work.)

Abstract

One of the important problems regarding coefficients of analytical functions (i.e., Fekete–Szegö inequality) was raised by Fekete and Szegö in 1933. The results of this research are dedicated to determine upper coefficient estimates and the Fekete–Szegö problem in the class W Σ ( δ , λ ; ϑ ) , which is defined by generalized telephone numbers. We also indicate some specific conditions and consequences of results found by us.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3304-:d:1203962
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    References listed on IDEAS

    as
    1. Hari M. Srivastava & Ahmad Motamednezhad & Ebrahim Analouei Adegani, 2020. "Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator," Mathematics, MDPI, vol. 8(2), pages 1-12, February.
    2. 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.
    3. 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.
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