Coefficient bounds for a new class of univalent functions involving Salagean operator and the modified Sigmoid function

Fadipe-Joseph, Olubunmi; Ademosu, W.; Murugusundaramoorthy, G.

doi:10.22075/ijnaa.2018.1589.1417

Coefficient bounds for a new class of univalent functions involving Salagean operator and the modified Sigmoid function

Document Type : Research Paper

Authors

Olubunmi Fadipe-Joseph ¹

W. Ademosu ²

G. Murugusundaramoorthy ³

¹ Department of Mathematics, University of Ilorin, P.M.B 1515, Ilorin, Nigeria

² Department of Mathematics,Statistics and Computer Sci., Federal University of Agriculture, P.M.B 2373, Makurdi, Nigeria

³ Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Deemed to be University, Vellore-632 014, India

10.22075/ijnaa.2018.1589.1417

Abstract

We define a new subclass of univalent function based on Salagean differential operator and obtained the initial Taylor coefficients using the techniques of Briot-Bouquet differential subordination in association with the modified sigmoid function. Further we obtain the classical Fekete-Szego inequality results.

Keywords

Univalent functions

Briot-Bouquet differential equation

Integral Operator

Salagean differential operator