Coefficient bounds for a class of univalent functions involving the modified Sigmoid function

Olubunmi A. Fadipe-Joseph; O. J. Windare; Esther O. Davids

doi:10.26637/MJM0802/0021

Abstract

New class of univalent functions which are analytic in the open unit disk \(\mathbb{U}=\{z \in \mathbb{C}:|z|<1\}\) using the modified Salagean operator involving the modified sigmoid function was defined. Coefficient bounds, the Fekete-Szego functional and some consequences of the results obtained were established.

Keywords:

Analytic function, Sigmoid function, Coefficient bounds, Fekete-Szego functional, Sălăgean differential operator

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Olubunmi A. Fadipe-Joseph Department of Mathematics, University of Ilorin, P.M.B.1515, Ilorin, Nigeria.
O. J. Windare Department of Mathematics, University of Ilorin, P.M.B.1515, Ilorin, Nigeria. https://orcid.org/0000-0002-4806-8069
Esther O. Davids Department of Mathematics, University of Ilorin, P.M.B.1515, Ilorin, Nigeria. https://orcid.org/0000-0002-9027-4181

Pages: 454-458
Date Published: 01-04-2020
Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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