Application of the Fourth-Order Differential Subordination and Superordination Results for Analytic Functions Associated With an Operator

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DOI: https://doi.org/10.28924/2291-8639-23-2025-164
Published: Jul 16, 2025
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Santosh Mandal, Madan Mohan Soren, Kadhavoor R. Karthikeyan, Dharmaraj Mohankumar, Application of the Fourth-Order Differential Subordination and Superordination Results for Analytic Functions Associated With an Operator, Int. J. Anal. Appl., 23 (2025), 164.

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Santosh Mandal, Madan Mohan Soren, Kadhavoor R. Karthikeyan, Dharmaraj Mohankumar

Abstract

This study focuses on differential subordination using arithmetic and geometric approaches when the dominant function is linear. In addition to the results of differential subordination of arithmetic and geometric means in which a convex function was dominant, one can study such differential subordination for a selected convex function. We investigate several results of the differential subordinations of analytic functions are associated with an operator built using arithmetic and geometric means.

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