New Subclass of Univalent Function involving the Modified Sigmoid Function using Subordination Principle

Authors

  • Olubunmi Abidemi Fadipe-Joseph University of Ilorin
  • Nafisat A. Adeniran University of Ilorin
  • O. J. Windare University of Ilorin

DOI:

https://doi.org/10.30495/jme.v12i1.701

Keywords:

Analytic function, Sigmoid function, Subordination principle, S\v{a}l\v{a}gean differential operator

Abstract

In this work, a new subclass of function, $G_\lambda(n, \mu, \lambda):n \in N_0, \mu \geq 1, \\0 \leq \lambda \leq 1$, was defined using the S\v{a}l\v{a}gean differential operator involving the modified sigmoid function and subordination principle. The initial coefficient bounds and the Fekete-Szego functional of this class were obtained.

Author Biographies

Olubunmi Abidemi Fadipe-Joseph, University of Ilorin

Department of Mathematics and Senior lecturer

Nafisat A. Adeniran, University of Ilorin

Department of Mathematics

O. J. Windare, University of Ilorin

Department of Mathematics

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Published

2018-06-29

Issue

Vol. 12

Section

Vol. 12, No. 4, (2018)

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