Initial Coefficient Estimates for a Certain Families of Bi-Univalent Functions Related to Bazilevi\v{c} and $\lambda$-Pseudo Functions


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Authors: A. K. WANAS AND B. A. ABD

DOI: 10.46793/KgJMat2604.657W

Abstract:

In this article, we define new families of normalized holormorphic and bi-univalent functions Σ(μ,γ,λ;????) and Σ(μ,γ,λ;????) which involve the Bazilevič functions and the λ-pseudo functions defined in the unit disk U. We determine the coefficient estimates for the initial Taylor-Maclaurin coefficients |a2| and |a3| and resolve the Fekete-Szegö type inequalities for these families. In addition, we point out several special cases and consequences of our results.



Keywords:

Holomorphic functions, bi-univalent functions, Bazilevič functions, λ-pseudo functions, coefficient estimates, Fekete-Szegö inequality.



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