Open AccessApplications of Borel Distribution for a New Family of Bi-Univalent Functions Defined by Horadam Polynomials
Author(s) -
S. R. 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.