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Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function

Author

Listed:
  • Lei Shi

    (School of Mathematics and Statistics, Anyang Normal University, Anyang 455002, China)

  • Hari M. Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
    Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, Baku AZ1007, Azerbaijan
    Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy)

  • Ayesha Rafiq

    (Institute of Space Technology, University of Islamabad, Islamabad 44000, Pakistan)

  • Muhammad Arif

    (Department of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, Pakistan)

  • Muhammad Ihsan

    (Department of Mathematics, Abdul Wali khan University Mardan, Mardan 23200, Pakistan)

Abstract

In the present paper, we aimed to discuss certain coefficient-related problems for the inverse functions associated with a bounded turning functions class subordinated with the exponential function. We calculated the bounds of some initial coefficients, the Fekete–Szegö-type inequality, and the estimation of Hankel determinants of second and third order. All of these bounds were proven to be sharp.

Suggested Citation

  • Lei Shi & Hari M. Srivastava & Ayesha Rafiq & Muhammad Arif & Muhammad Ihsan, 2022. "Results on Hankel Determinants for the Inverse of Certain Analytic Functions Subordinated to the Exponential Function," Mathematics, MDPI, vol. 10(19), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3429-:d:920819
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    References listed on IDEAS

    as
    1. Oh Sang Kwon & Young Jae Sim, 2019. "The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions with Real Coefficients," Mathematics, MDPI, vol. 7(8), pages 1-14, August.
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    Citations

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    Cited by:

    1. 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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