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Hankel Determinants for New Subclasses of Analytic Functions Related to a Shell Shaped Region

Author

Listed:
  • Gangadharan Murugusundaramoorthy

    (Department of Mathematics, SAS, Vellore Institute of Technology, Deemed to be University, Vellore 632014, India
    These authors contributed equally to this work.)

  • Teodor Bulboacă

    (Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

Abstract

Using the operator L c a defined by Carlson and Shaffer, we defined a new subclass of analytic functions ML c a ( λ ; ψ ) defined by a subordination relation to the shell shaped function ψ ( z ) = z + 1 + z 2 . We determined estimate bounds of the four coefficients of the power series expansions, we gave upper bound for the Fekete–SzegőSzegő functional and for the Hankel determinant of order two for f ∈ ML c a ( λ ; ψ ) .

Suggested Citation

  • Gangadharan Murugusundaramoorthy & Teodor Bulboacă, 2020. "Hankel Determinants for New Subclasses of Analytic Functions Related to a Shell Shaped Region," Mathematics, MDPI, vol. 8(6), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:6:p:1041-:d:376578
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    Citations

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    Cited by:

    1. Muhammad Arif & Safa Marwa & Qin Xin & Fairouz Tchier & Muhammad Ayaz & Sarfraz Nawaz Malik, 2022. "Sharp Coefficient Problems of Functions with Bounded Turnings Subordinated by Sigmoid Function," Mathematics, MDPI, vol. 10(20), pages 1-24, October.
    2. Yue-Juan Sun & Muhammad Arif & Lei Shi & Muhammad Imran Faisal, 2023. "Some Further Coefficient Bounds on a New Subclass of Analytic Functions," Mathematics, MDPI, vol. 11(12), pages 1-14, June.

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