S. R. Swamy, Alina Alb Lupaş, Abbas Kareem Wanas, J. Nirmala, "Applications of Borel Distribution for a New Family
of Bi-Univalent Functions Defined by Horadam
Polynomials," WSEAS Transactions on Mathematics, vol. 20, pp. 630-636, 2021, DOI:10.37394/23206.2021.20.67
S. R. Swamy, Alina Alb Lupaş, Abbas Kareem Wanas, J. Nirmala. Applications of Borel Distribution for a New Family
of Bi-Univalent Functions Defined by Horadam
Polynomials.
WSEAS Transactions on Mathematics. 2021;20:630-636. 10.37394/23206.2021.20.67
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
Applications of Borel Distribution for a New Family
of Bi-Univalent Functions Defined by Horadam
Polynomials
Authors: , , ,
Abstract: 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-Szeg¨o problem of functions in this new family.
Keywords:
Bi-univalent function, Bazilevič function, λ-Pseudo-starlike function, Borel distribution, Horadam polynomials, Upper bounds, Fekete-Szego problem.
Pages: 630-636 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 20, 2021, Art. #67 DOI: 10.37394/23206.2021.20.67
×
Citation Tools