On Closely Related to Starlike Functions With Respect to a Boundary Point

In the present work, we introduce a new class of analytic functions in the open unit disk that is closely related to the class of starlike functions of order α with respect to a boundary point. For this class, we obtain Herglotz representation theorem and interesting coefficient estimates including several examples. Furthermore, several corollaries are also considered, some of which extend and improve the results obtained in [3].