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Some Properties and Graphical Applications of a New Subclass of Harmonic Functions Defined by a Differential Inequality

Author

Listed:
  • Sibel Yalçın

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

  • Hasan Bayram

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

  • Georgia Irina Oros

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

Abstract

This paper establishes new results related to geometric function theory by presenting a new subclass of harmonic functions with complex values within the open unit disk, characterized by a second-order differential inequality. The investigation explores the bounds on the coefficients and estimates of the function growth. This paper also demonstrates that this subclass remains stable under the convolution operation applied to its members. In addition, in the last section, images of the unit disk under some functions of this class are given.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:15:p:2338-:d:1443610
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    References listed on IDEAS

    as
    1. Georgia Irina Oros & Sibel Yalçın & Hasan Bayram, 2023. "Some Properties of Certain Multivalent Harmonic Functions," Mathematics, MDPI, vol. 11(11), pages 1-12, May.
    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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    1. 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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