
doi: 10.3390/math8112041
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.
harmonic function, best subordinant, subordinant, QA1-939, differential superordination, differential subordination, analytic function, Mathematics
harmonic function, best subordinant, subordinant, QA1-939, differential superordination, differential subordination, analytic function, Mathematics
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