Papers by Fadipe-Joseph Olubunmi
Gulf Journal of Mathematics, Oct 5, 2015
In this paper, a new class of harmonic univalent function using the modified Salagean differentia... more In this paper, a new class of harmonic univalent function using the modified Salagean differential operator is introduced. New results on the new class are obtained. Distortion bounds, Convolution and Convex combination in the new class are also established. The work extended some earlier results .
Earthline Journal of Mathematical Sciences
In this work, two classes T(b, λ) and V(b, λ) were defined. Coefficient bounds, Fekete-Szegö func... more In this work, two classes T(b, λ) and V(b, λ) were defined. Coefficient bounds, Fekete-Szegö functional and Hankel determinants for the classes were obtained. The results obtained generalized some earlier ones.
Arid Zone Journal of Engineering, Technology and Environment, 2018
The rise in global cases of emergencies as a result of man-made and natural disaster, necessitate... more The rise in global cases of emergencies as a result of man-made and natural disaster, necessitates the need for a robust and reliable means of communication networks. The partial or complete, disruption of telecommunications infrastructure as a result of disaster has caused delays in emergency response and disaster relief efforts, leading to loss of lives and damage to properties. Although, modern telecommunications networks have reliability and resiliency to physical damage, however, the risks associated with communications failures remain a major issue as the severity of the damages may depend on the underlying technologies and architecture used. It is however important to also note that each technology option available for public safety network has its own unique characteristics. Some of these options are widely deployed for commercial purposes in Nigeria, while others are still in the developmental stages. This paper therefore outlines some of the existing, new and affordable te...
Far east journal of applied mathematics, 2016
Journal of Mathematical Extension, Jun 29, 2018
In this work, a new subclass of function, $G_\lambda(n, \mu, \lambda):n \in N_0, \mu \geq 1, \\0 ... more 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.
International Journal of Difference Equations, 2021
The authors obtained some geometric results on certain new classes of analytic functions involvin... more The authors obtained some geometric results on certain new classes of analytic functions involving sigmoid function defined by Fadipe-Joseph et. al. 2016 as T γ (λ, β, α, µ). Extreme point property, radius of starlikeness and convexity, convolution property and Fekete-Szego inequality for the class were proved.
Abstract and Applied Analysis, 2022
The study introduced a generalized multiplier operator used as a tool to define and investigate a... more The study introduced a generalized multiplier operator used as a tool to define and investigate a new class of function, T S Q σ , ξ , ω , ε μ , λ , η ϖ , n and its subclass T S Q σ , ξ , ω , ε μ , λ , η ϖ , n ; M i . Various properties of the class of functions were investigated. The results extend some known results in literature.
Abstract: Inequalities conditions for certain new classes of univalent functions were determined.... more Abstract: Inequalities conditions for certain new classes of univalent functions were determined. Also,the distortion inequalities for the the new class of univalent functions was established.
In this work, a new subclass of univalent function was defined using the Sălăgean differential op... more 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.
In the present paper, the authors investigated a subclass T γ D λ , ω ( α , β , ξ , μ ; p :... more In the present paper, the authors investigated a subclass T γ D λ , ω ( α , β , ξ , μ ; p : n ) of analytic functions in the open unit disk U. Using Ruscheweyh operator R n f γ ( z ) and a generalized Sǎlǎgean differential operator D λ , ω n f γ ( z ) involving modified Sigmoid function, a class of normalized analytic function given by: Φ λ , ω n f γ ( z )= μ D λ , ω n f γ ( z )+(1 − μ ) R n f γ ( z ); λ , ω ≥ 0, μ ∈ [0, 1], n ∈ N 0 , z ∈ U was established. Some geometric properties of the subclass T γ D λ , ω ( α , β , ξ , μ ; p : n ) were investigated. The results extended and generalized some earlier results.
International Journal of Mathematics and Computer Science, 2018
In this article, we look at certain properties of a sigmoid function and determine the starlikene... more In this article, we look at certain properties of a sigmoid function and determine the starlikeness and the convexity of this function.
International Journal of Nonlinear Analysis and Applications, 2018
We define a new subclass of univalent function based on Salagean differential operator and obtain... more 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.
In this work, the authors investigated the initial Chebyshev polynomial class of analytic functio... more In this work, the authors investigated the initial Chebyshev polynomial class of analytic functions based on quasi-subordination. The coefficient estimates including the relevant connection to the Fekete-Szegö inequality of functions belonging to the class G nq, γ, t) were derived. Also, certain results for the associated classes involving subordination and majorization were presented.
In this paper, we define new subclasses S∗ q (α,Φ), Mq(α,Φ) and Lq(α,Φ) of analytic functions in ... more In this paper, we define new subclasses S∗ q (α,Φ), Mq(α,Φ) and Lq(α,Φ) of analytic functions in the space of logistic sigmoid functions based on quasi–subordination and determine the initial coefficient estimates |a2| and |a3| and also determine the relevant connection to the classical Fekete–Szegö inequalities. Further, we discuss the improved results for the associated classes involving subordination and majorization results briefly.
MSC 2010 Classi cations: Primary 30C45, 30C50; Secondary 33B99, 33C10.
The particular solution of the second order differential equation: zw(z) + zw(z) + (z − p)w(z) = ... more The particular solution of the second order differential equation: zw(z) + zw(z) + (z − p)w(z) = 0 is Jp(z) = ∞
We give the upper bound for the Bloch-seminorm using the principle of subordination. Coecient ine... more We give the upper bound for the Bloch-seminorm using the principle of subordination. Coecient inequalities are determined for univalent functions with negative coecients that are convex of order
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Papers by Fadipe-Joseph Olubunmi