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Faber Polynomial Coefficient Estimates of Bi-Close-to-Convex Functions Associated with Generalized Hypergeometric Functions

Author

Listed:
  • Jie Zhai

    (Department of Mathematics, Yangzhou University, Yangzhou 225002, China)

  • Rekha Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada)

  • Jin-Lin Liu

    (Department of Mathematics, Yangzhou University, Yangzhou 225002, China)

Abstract

A new subclass of bi-close-to-convex functions associated with the generalized hypergeometric functions defined in ∆ = { z ∈ C : | z | < 1 } is introduced. The estimates for the general Taylor–Maclaurin coefficients of the functions in the introduced subclass are obtained by making use of Faber polynomial expansions. In particular, several previous results are generalized.

Suggested Citation

  • Jie Zhai & Rekha Srivastava & Jin-Lin Liu, 2022. "Faber Polynomial Coefficient Estimates of Bi-Close-to-Convex Functions Associated with Generalized Hypergeometric Functions," Mathematics, MDPI, vol. 10(17), pages 1-11, August.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:17:p:3073-:d:897939
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    References listed on IDEAS

    as
    1. Hari M. Srivastava & Ahmad Motamednezhad & Ebrahim Analouei Adegani, 2020. "Faber Polynomial Coefficient Estimates for Bi-Univalent Functions Defined by Using Differential Subordination and a Certain Fractional Derivative Operator," Mathematics, MDPI, vol. 8(2), pages 1-12, February.
    2. Bo Wang & Rekha Srivastava & Jin-Lin Liu, 2021. "A Certain Subclass of Multivalent Analytic Functions Defined by the q -Difference Operator Related to the Janowski Functions," Mathematics, MDPI, vol. 9(14), pages 1-16, July.
    3. Ágnes Orsolya Páll-Szabó & Georgia Irina Oros, 2020. "Coefficient Related Studies for New Classes of Bi-Univalent Functions," Mathematics, MDPI, vol. 8(7), pages 1-13, July.
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    Cited by:

    1. Ridong Wang & Manoj Singh & Shahid Khan & Huo Tang & Mohammad Faisal Khan & Mustafa Kamal, 2023. "New Applications of Faber Polynomial Expansion for Analytical Bi-Close-to-Convex Functions Defined by Using q -Calculus," Mathematics, MDPI, vol. 11(5), pages 1-15, March.

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