Аннотация:
In this paper, we introduce a new class of bi-univalent functions, which exhibit connections to Bazilevic̆ and Pseudo-Starlike functions. By employing the Tremblay fractional derivative operator, we establish this comprehensive class. For functions within this class, we derive coefficient inequalities and the Fekete-Szegö inequalities. Furthermore, we discuss various significant observations related to the presented results. Additionally, we provide some non-trivial examples within this class, supplemented by illustrative figures to enhance understanding.
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