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Geometric Properties of Certain Classes of Analytic Functions with Respect to ( x , y )-Symmetric Points

Author

Listed:
  • Fuad Alsarari

    (Department of Mathematics and Statistics, Sciences College, Taibah University, Yanbu 41911, Saudi Arabia)

  • Muhammad Imran Faisal

    (Mathematics Department, Taibah University, Medina 41477, Saudi Arabia)

  • Alaa Awad Alzulaibani

    (Department of Mathematics and Statistics, Sciences College, Taibah University, Yanbu 41911, Saudi Arabia)

Abstract

In this article, the present study employs the utilization of the concepts pertaining to ( x , y ) -symmetrical functions, Janowski type functions, and q -calculus in order to establish a novel subclass within the open unit disk. Specifically, we delve into the examination of convolution properties, which serve as a tool for investigating and inferring adequate and equivalent conditions. Moreover, we also explore specific characteristics of the class S ˜ q x , y ( α , β , λ ) , thereby further scrutinizing the convolution properties of these newly defined classes.

Suggested Citation

  • Fuad Alsarari & Muhammad Imran Faisal & Alaa Awad Alzulaibani, 2023. "Geometric Properties of Certain Classes of Analytic Functions with Respect to ( x , y )-Symmetric Points," Mathematics, MDPI, vol. 11(19), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4180-:d:1254384
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    References listed on IDEAS

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    1. Bilal Khan & Zhi-Guo Liu & Timilehin Gideon Shaba & Serkan Araci & Nazar Khan & Muhammad Ghaffar Khan & Om P. Ahuja, 2022. "Applications of q-Derivative Operator to the Subclass of Bi-Univalent Functions Involving q-Chebyshev Polynomials," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, March.
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