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Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative

Author

Listed:
  • Sheza M. El-Deeb

    (Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
    Current address: Department of Mathematics, College of Science and Arts in Badaya, Al-Qassim University, Al-Badaya, Al-Qassim Province, Saudi Arabia.)

  • Teodor Bulboacă

    (Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

  • Bassant M. El-Matary

    (Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
    Current address: Department of Mathematics, College of Science and Arts in Badaya, Al-Qassim University, Al-Badaya, Al-Qassim Province, Saudi Arabia.)

Abstract

In this paper we introduce a new subclass of the bi-univalent functions defined in the open unit disc and connected with a q -analogue derivative. We find estimates for the first two Taylor-Maclaurin coefficients a 2 and a 3 for functions in this subclass, and we obtain an estimation for the Fekete-Szegő problem for this function class.

Suggested Citation

  • Sheza M. El-Deeb & Teodor Bulboacă & Bassant M. El-Matary, 2020. "Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative," Mathematics, MDPI, vol. 8(3), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:418-:d:332545
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    References listed on IDEAS

    as
    1. Suhila Elhaddad & Maslina Darus, 2020. "Coefficient Estimates for a Subclass of Bi-Univalent Functions Defined by q -Derivative Operator," Mathematics, MDPI, vol. 8(3), pages 1-14, February.
    2. Saurabh Porwal, 2014. "An Application of a Poisson Distribution Series on Certain Analytic Functions," Journal of Complex Analysis, Hindawi, vol. 2014, pages 1-3, February.
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    Cited by:

    1. Daniel Breaz & Sheza M. El-Deeb & Seher Melike Aydoǧan & Fethiye Müge Sakar, 2023. "The Yamaguchi–Noshiro Type of Bi-Univalent Functions Connected with the Linear q -Convolution Operator," Mathematics, MDPI, vol. 11(15), pages 1-13, August.

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