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In the present exploration, the authors define and inspect a new class of functions that are regular in the unit disc  D ≔ ς ∈ ℂ : ς &lt; 1 , by using an adapted version of the interesting analytic formula offered by Robertson (unexploited) for starlike functions with respect to a boundary point by subordinating to an exponential function. Examples of some new subclasses are presented. Initial coefficient estimates are specified, and the familiar Fekete-Szegö inequality is obtained. Differential subordinations concerning these newly demarcated subclasses are also established.

On a Subclass of Analytic Functions That Are Starlike with Respect to a Boundary Point Involving Exponential Function