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FUNCTIONS SUBORDINATE TO THE EXPONENTIAL FUNCTION
Priya G. Krishnan,Vaithiyanathan Ravichandran,Ponnaiah Saikrishnan Korean Mathematical Society 2023 대한수학회논문집 Vol.38 No.1
We use the theory of differential subordination to explore various inequalities that are satisfied by an analytic function p defined on the unit disc so that the function p is subordinate to the function e<sup>z</sup>. These results are applied to find sufficient conditions for the normalised analytic functions f defined on the unit disc to satisfy the subordination zf'(z)/f(z) ≺ e<sup>z</sup>.