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ON CLOSELY RELATED TO STARLIKE FUNCTIONS WITH RESPECT TO A BOUNDARY POINT
Keywords:
analytic functions, Carathéodory functions, univalent functions, starlike functions, coefficient estimatesDOI:
https://doi.org/10.17654/0972087126010Abstract
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].
References
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