Applications of Borel Distribution for a New Family of Bi-Univalent Functions Defined by Horadam Polynomials | Zendy

Sondekola Rudra Swamy | Zendy; Alina Alb Lupaş | Zendy; Abbas Kareem Wanas | Zendy; J. Nirmala | Zendy

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Applications of Borel Distribution for a New Family of Bi-Univalent Functions Defined by Horadam Polynomials

Author(s) -

Sondekola Rudra Swamy,

Alina Alb Lupaş,

Abbas Kareem Wanas,

J. Nirmala

Publication year - 2021

Publication title -

wseas transactions on mathematics

Language(s) - English

Resource type - Journals

eISSN - 2224-2880

pISSN - 1109-2769

DOI - 10.37394/23206.2021.20.67

Subject(s) - mathematics , unit disk , analytic function , distribution (mathematics) , pure mathematics , function (biology) , discrete mathematics , combinatorics , mathematical analysis , evolutionary biology , biology

In this paper, by making use of Borel distribution we introduce a new family GΣ(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 |a2| and |a3| 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.

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