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Some Properties of Certain Multivalent Harmonic Functions

Author

Listed:
  • Georgia Irina Oros

    (Department of Mathematics and Computer Science, Faculty of Informatics and Sciences, University of Oradea, 410087 Oradea, Romania)

  • Sibel Yalçın

    (Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, Bursa 16059, Turkey)

  • Hasan Bayram

    (Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, Bursa 16059, Turkey)

Abstract

In this paper, various features of a new class of normalized multivalent harmonic functions in the open unit disk are analyzed, including bounds on coefficients, growth estimations, starlikeness and convexity radii. It is further demonstrated that this class is closed when its members are convoluted. It can also be seen that various previously introduced and investigated classes of multivalent harmonic functions appear as special cases for this class.

Suggested Citation

  • Georgia Irina Oros & Sibel Yalçın & Hasan Bayram, 2023. "Some Properties of Certain Multivalent Harmonic Functions," Mathematics, MDPI, vol. 11(11), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:11:p:2416-:d:1153722
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    References listed on IDEAS

    as
    1. Georgia Irina Oros, 2020. "Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions," Mathematics, MDPI, vol. 8(11), pages 1-8, November.
    2. Shigeyoshi Owa & Toshio Hayami & Kazuo Kuroki, 2007. "Some Properties of Certain Analytic Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2007, pages 1-9, March.
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    Citations

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    Cited by:

    1. Sibel Yalçın & Hasan Bayram & Georgia Irina Oros, 2024. "Some Properties and Graphical Applications of a New Subclass of Harmonic Functions Defined by a Differential Inequality," Mathematics, MDPI, vol. 12(15), pages 1-15, July.
    2. Daniel Breaz & Abdullah Durmuş & Sibel Yalçın & Luminita-Ioana Cotirla & Hasan Bayram, 2023. "Certain Properties of Harmonic Functions Defined by a Second-Order Differential Inequality," Mathematics, MDPI, vol. 11(19), pages 1-14, September.

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