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Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions

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We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these… Click to show full abstract

We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in this work. We provide estimates for the first two Taylor–Maclaurin series coefficients for these functions. Furthermore, we define the Salagean differential operator and discuss various applications of our main findings using it. A few new and well-known corollaries are studied in order to show the connection between recent and earlier work.

Keywords: univalent functions; family fold; bounds family; coefficient bounds; fold symmetric

Journal Title: Axioms
Year Published: 2023

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