首页|Applications of Borel Distribution for a New Family of Bi-Univalent Functions Defined by Horadam Polynomials
Applications of Borel Distribution for a New Family of Bi-Univalent Functions Defined by Horadam Polynomials
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In this paper, by making use of Borel distribution we introduce a new family G_Σ(δ, γ, λ, τ, r) of normalized analytic and bi-univalent functions in the open unit disk U, which are associated with Horadam polynomials. We establish upper bounds for the initial Taylor-Maclaurin coefficients |a_2| and |a_3| of functions belonging to the analytic and bi-univalent function family which we have introduced here. Furthermore, we establish the Fekete-Szego problem of functions in this new family.
Bi-univalent functionBazilevic functionλ-Pseudo-starlike functionBorel distributionHoradam polynomialsUpper boundsFekete-Szego problem
J. NIRMALA、S. R. SWAMY、ALINA ALB LUPAS、ABBAS KAREEM WANAS
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Department of Mathematics, Maharani's Science College for Women
Department of Computer Science and Engineering, RV College of Engineering
Department of Mathematics and Computer Science, University of Oradea
Department of Mathematics, College of Science, University of Al-Qadisiyah
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