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The Yamaguchi–Noshiro Type of Bi-Univalent Functions Connected with the Linear q -Convolution Operator

Author

Listed:
  • Daniel Breaz

    (Department of Mathematics, “1 Decembrie 1918” University of Alba-Iulia, 510009 Alba Iulia, Romania
    These authors contributed equally to this work.)

  • Sheza M. El-Deeb

    (Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, Egypt
    Department of Mathematics, College of Science and Arts, Al-Badaya, Qassim University, Buraidah 52571, Saudi Arabia
    These authors contributed equally to this work.)

  • Seher Melike Aydoǧan

    (Department of Mathematics, Istanbul Technical University, 34485 Istanbul, Turkey
    These authors contributed equally to this work.)

  • Fethiye Müge Sakar

    (Department of Management, Dicle University, 21280 Diyarbakir, Turkey
    These authors contributed equally to this work.)

Abstract

In the present paper, the authors introduce and investigate two new subclasses of the function class B of bi-univalent analytic functions in an open unit disk U connected with a linear q -convolution operator. The bounds on the coefficients | c 2 | , | c 3 | and | c 4 | for the functions in these new subclasses of B are obtained. Relevant connections of the results presented here with those obtained in earlier work are also pointed out.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3363-:d:1208265
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    References listed on IDEAS

    as
    1. 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.
    2. Sheza M. El-Deeb, 2020. "Maclaurin Coefficient Estimates for New Subclasses of Bi-univalent Functions Connected with a - Analogue of Bessel Function," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-7, May.
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