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The differential operator is a powerful operator in physical, chemical, and medical applications because of its general form. Therefore, in this study, we introduced a new differential operator \({ \text{AMD}}_{\alpha }^{m}\) f(z) and obtained some applications of fourh-order differential subordination and superordination. There are pertinent links discussed between the new findings reported here and those taken into consideration in earlier studies. The differential subordination theory characteristics and outcomes are symmetric with the qualities discovered. Sandwich-type theorems are obtained by combining them with the differential superordination theory.

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Results from Utilizing the AMD Operator for Meromorphic Univalent Functions in Fourth-Order Differential Subordination and Superordination

  • 会议论文

  • 发表日期：

    2025年

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  • Maryam Dheyaa Ridha,
  • Amal Mohammed Darweesh

摘要

The differential operator is a powerful operator in physical, chemical, and medical applications because of its general form. Therefore, in this study, we introduced a new differential operator \({ \text{AMD}}_{\alpha }^{m}\) f(z) and obtained some applications of fourh-order differential subordination and superordination. There are pertinent links discussed between the new findings reported here and those taken into consideration in earlier studies. The differential subordination theory characteristics and outcomes are symmetric with the qualities discovered. Sandwich-type theorems are obtained by combining them with the differential superordination theory.