Polynomial Bounds for a Class of Univalent Function Involving Sigmoid Function

Document Type : Original Article

Authors

Olubunmi A. Fadipe-Joseph

Bilikis B. Kadir

Sunday E. Akinwumi

Esther O. Adeniran

Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria.

10.22034/kjm.2018.57721

Abstract

In this work, a new subclass of univalent function was defined using the Sălăgean differential operator involving the modified sigmoid function and the Chebyshev polynomials. The coefficient bounds and the Fekete-Szego functional of this class were obtained using subordination principle. The results obtained agree and extend some earlier results.

Keywords

Analytic function

Sigmoid function

Chebyshev polynomials

Sălăgean operator

Subjects

• 30 Functions of a complex variable

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