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Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions

Author

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  • Georgia Irina Oros

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

Abstract

The theory of differential subordinations has been extended from the analytic functions to the harmonic complex-valued functions in 2015. In a recent paper published in 2019, the authors have considered the dual problem of the differential subordination for the harmonic complex-valued functions and have defined the differential superordination for harmonic complex-valued functions. Finding the best subordinant of a differential superordination is among the main purposes in this research subject. In this article, conditions for a harmonic complex-valued function p to be the best subordinant of a differential superordination for harmonic complex-valued functions are given. Examples are also provided to show how the theoretical findings can be used and also to prove the connection with the results obtained in 2015.

Suggested Citation

  • Georgia Irina Oros, 2020. "Best Subordinant for Differential Superordinations of Harmonic Complex-Valued Functions," Mathematics, MDPI, vol. 8(11), pages 1-8, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:2041-:d:445952
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    Citations

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    Cited by:

    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. Abdullah Alsoboh & Ala Amourah & Maslina Darus & Carla Amoi Rudder, 2023. "Studying the Harmonic Functions Associated with Quantum Calculus," Mathematics, MDPI, vol. 11(10), pages 1-11, May.
    3. Georgia Irina Oros, 2022. "Geometrical Theory of Analytic Functions," Mathematics, MDPI, vol. 10(18), pages 1-4, September.

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