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Sharp Coefficient Problems of Functions with Bounded Turnings Subordinated by Sigmoid Function

Author

Listed:
  • Muhammad Arif

    (Faculty of Physical and Numerical Sciences, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan)

  • Safa Marwa

    (Faculty of Physical and Numerical Sciences, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan)

  • Qin Xin

    (Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark)

  • Fairouz Tchier

    (Department of Mathematics, College of Science, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia)

  • Muhammad Ayaz

    (Faculty of Physical and Numerical Sciences, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan)

  • Sarfraz Nawaz Malik

    (Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan)

Abstract

This study deals with analytic functions with bounded turnings, defined in the disk O d = z : z < 1 . These functions are subordinated by sigmoid function 2 1 + e − z and their class is denoted by BT Sg . Sharp coefficient inequalities, including the third Hankel determinant for class BT Sg , were investigated here. The same was also included for the logarithmic coefficients related to functions of the class BT Sg .

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:20:p:3862-:d:945884
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    References listed on IDEAS

    as
    1. Lei Shi & Muhammad Arif & Ayesha Rafiq & Muhammad Abbas & Javed Iqbal, 2022. "Sharp Bounds of Hankel Determinant on Logarithmic Coefficients for Functions of Bounded Turning Associated with Petal-Shaped Domain," Mathematics, MDPI, vol. 10(11), pages 1-19, June.
    2. 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.
    3. Hari M. Srivastava & Qazi Zahoor Ahmad & Maslina Darus & Nazar Khan & Bilal Khan & Naveed Zaman & Hasrat Hussain Shah, 2019. "Upper Bound of the Third Hankel Determinant for a Subclass of Close-to-Convex Functions Associated with the Lemniscate of Bernoulli," Mathematics, MDPI, vol. 7(9), pages 1-10, September.
    4. Isra Al-Shbeil & Afis Saliu & Adriana Cătaş & Sarfraz Nawaz Malik & Semiu Oladipupo Oladejo, 2022. "Some Geometrical Results Associated with Secant Hyperbolic Functions," Mathematics, MDPI, vol. 10(15), pages 1-13, July.
    5. Afis Saliu & Khalida Inayat Noor & Saqib Hussain & Maslina Darus & Hijaz Ahmad, 2020. "On Quantum Differential Subordination Related with Certain Family of Analytic Functions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-13, November.
    6. Lei Shi & Muhammad Arif & Mohsan Raza & Muhammad Abbas, 2022. "Hankel Determinant Containing Logarithmic Coefficients for Bounded Turning Functions Connected to a Three-Leaf-Shaped Domain," Mathematics, MDPI, vol. 10(16), pages 1-10, August.
    7. Abdullah Alotaibi & Muhammad Arif & Mohammed A. Alghamdi & Shehzad Hussain, 2020. "Starlikness Associated with Cosine Hyperbolic Function," Mathematics, MDPI, vol. 8(7), pages 1-16, July.
    8. Hari M. Srivastava & Qazi Zahoor Ahmad & Nasir Khan & Nazar Khan & Bilal Khan, 2019. "Hankel and Toeplitz Determinants for a Subclass of q -Starlike Functions Associated with a General Conic Domain," Mathematics, MDPI, vol. 7(2), pages 1-15, February.
    Full references (including those not matched with items on IDEAS)

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