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Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a q -Analog Integral Operator

Author

Listed:
  • Sarem H. Hadi

    (Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
    Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
    These authors contributed equally to this work.)

  • Maslina Darus

    (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
    These authors contributed equally to this work.)

  • Firas Ghanim

    (Department of Mathematics, College of Science, University of Sharjah, Sharjah 27272, United Arab Emirates
    These authors contributed equally to this work.)

  • Alina Alb Lupaş

    (Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania
    These authors contributed equally to this work.)

Abstract

This article presents a new q -analog integral operator, which generalizes the q -Srivastava–Attiya operator. Using this q -analog operator, we define a family of analytic non-Bazilevič functions, denoted as T q , τ + 1 , u μ ( ϑ , λ , M , N ) . Furthermore, we investigate the differential subordination properties of univalent functions using q -calculus, which includes the best dominance, best subordination, and sandwich-type properties. Our results are proven using specialized techniques in differential subordination theory.

Suggested Citation

  • Sarem H. Hadi & Maslina Darus & Firas Ghanim & Alina Alb Lupaş, 2023. "Sandwich-Type Theorems for a Family of Non-Bazilevič Functions Involving a q -Analog Integral Operator," Mathematics, MDPI, vol. 11(11), pages 1-17, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2479-:d:1157834
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    References listed on IDEAS

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    1. Daniel Breaz & Abdullah A. Alahmari & Luminiţa-Ioana Cotîrlă & Shujaat Ali Shah, 2023. "On Generalizations of the Close-to-Convex Functions Associated with q -Srivastava–Attiya Operator," Mathematics, MDPI, vol. 11(9), pages 1-10, April.
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