Coefficient Bounds for New Subclasses of m-Fold Symmetric Holomorphic Bi-Univalent Functions
Abstract
In the present paper, we investigate two new subclasses 〖AR〗_(Σ_m ) (δ,λ;α) and 〖AR〗_(Σ_m ) (δ,λ;β) of Σ_m consisting of m-fold symmetric holomorphic bi-univalent functions in the open unit disk Δ. For functions from the two classes described here, we obtain estimates on the initial bounds |d_(m+1) | and |d_(2m+1) |. In addition, we get new special cases for our results.
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