Jamiu Hamzat - Academia.edu (original) (raw)
Papers by Jamiu Hamzat
Mathematics, Apr 25, 2024
Zenodo (CERN European Organization for Nuclear Research), Aug 22, 2023
In this study, some results based on various subclasses of harmonic p-valent functions blended wi... more In this study, some results based on various subclasses of harmonic p-valent functions blended with Pascal Distribution Series are provided using lucid mathematical approach.
Ukrainian Mathematical Journal
Nepal Journal of Mathematical Sciences
In the present work, the authors define and determine the bounds on the first few coefficients of... more In the present work, the authors define and determine the bounds on the first few coefficients of the function f(Z) belonging to a new class of analytic functions with complex order associated with modified sigmoid function in the open unit disk.
Symmetry
The research presented in this paper deals with analytic p-valent functions related to the genera... more The research presented in this paper deals with analytic p-valent functions related to the generalized probability distribution in the open unit disk U. Using the Hadamard product or convolution, function fs(z) is defined as involving an analytic p-valent function and generalized distribution expressed in terms of analytic p-valent functions. Neighborhood properties for functions fs(z) are established. Further, by applying a previously introduced linear transformation to fs(z) and using an extended Libera integral operator, a new generalized Libera-type operator is defined. Moreover, using the same linear transformation, subclasses of starlike, convex, close-to-convex and spiralike functions are defined and investigated in order to obtain geometrical properties that characterize the new generalized Libera-type operator. Symmetry properties are due to the involvement of the Libera integral operator and convolution transform.
Fractal and Fractional
In the present article, using the subordination principle, the authors employed certain generaliz... more In the present article, using the subordination principle, the authors employed certain generalized multiplier transform to define two new subclasses of analytic functions with respect to symmetric and conjugate points. In particular, bi-univalent conditions for function f(z) belonging to these new subclasses and their relevant connections to the famous Fekete-Szegö inequality |a3−va22| were investigated using a succinct mathematical approach.
Tbilisi Mathematical Journal
Symmetry
The object of the present work is to investigate certain new classes of bi-univalent functions in... more The object of the present work is to investigate certain new classes of bi-univalent functions introduced in this paper using the concept of subordination. The research involves a generalized multiplier transform defined in this paper which is a generalization of known operators and the modified sigmoid function. The results contained in the proved theorems refer to coefficient estimates for the functions in the newly introduced classes.
MALAYSIAN JOURNAL OF COMPUTING, 2022
In this paper, the authors introduce and study a new class of analytic p-valent functions and its... more In this paper, the authors introduce and study a new class of analytic p-valent functions and its connections with some famous subclasses of analytic and univalent functions associated with shell-like curve and modified sigmoid function in the open unit disk E= {z : z |<1}. In particular, the coefficient condition for function f(z) belonging to the class Bp (λ, β) is investigated using a succinct mathematical approach. In addition, as a special case, convex functions of order 1/4 are shown to be in the aforementioned class Bp(λ, β) in E. With the aid of subordination principle, the authors obtain the first three Taylor-Maclaurin coefficients |ap+1 | , |ap+2 | and |ap+3 | as well as the Fekete-Szegö functional |ap+2 -ηa2p+1| for functions f(z) belonging to the class Bp(λ, β, σ;p ̃) involving modified sigmoid function and associated with shell-like curve.
Considering a function ) (z f which is analytic in the open unit disk E, normalized by 1 ) 0 ( 0 ... more Considering a function ) (z f which is analytic in the open unit disk E, normalized by 1 ) 0 ( 0 ) 0 ( f f and having the power series of the form . ... ) ( 3 3 2 2 z a z a z z f We introduce and study certain new subclass ) , , , ( , , B A M k m of bi-univalent function associated with conic domains in which both f and f are m-fold symmetric analytic functions. It is pertinent to remark here that the first two initial bi-univalent coefficients | | 1 m a and | | 1 2 m a estimated in the present investigation have their application in the construction of some (and not limited to) analytic functional such as Fekete-Szego functional and Hankel determinants to mention but few.
In this paper, the author studies certain new subclasses of uniformly starlike, convex and spiral... more In this paper, the author studies certain new subclasses of uniformly starlike, convex and spiralike functions with negative coefficients. Some properties of functions belonging to these subclasses such as, coefficient estimates, extreme points, growth and distortion bonds are critically investigated.
The main object of the present work is to study two new subclasses of analytic functions where we... more The main object of the present work is to study two new subclasses of analytic functions where we obtain the sharp bounds for their respected Fekete-Szego bogy of coefficients.
Journal of the Egyptian Mathematical Society, 2020
The prime focus of the present work is to investigate some fascinating relations of some analytic... more The prime focus of the present work is to investigate some fascinating relations of some analytic and univalent functions using a subordination theorem.
International Journal of Pure and Apllied Mathematics, 2016
In this present paper, we study a new subclass of δp(A, B, b, ω, λ, l, n) of analytic p−valent fu... more In this present paper, we study a new subclass of δp(A, B, b, ω, λ, l, n) of analytic p−valent functions in the unit disk U = {z : |z| < 1} defined by Aouf et al derivative operator. Coefficient estimates and relevant connection of this class to the famous Fekete-Szego were obtained.
Journal of the Nigerian Mathematical Society, 2019
In this work the author considered new subclasses of analytic univalent functions using certain l... more In this work the author considered new subclasses of analytic univalent functions using certain linear operator. With the operator, the author was able to study several new and existing subclasses of analytic univalent functions in the unit disk. The results presented in this paper include, coefficient estimates (which were later used to investigate certain subclasses of analytic functions with fixed finitely many coefficients) and distortion theorems for functions belonging to these subclasses. Furthermore, some relationships between these subclasses were also discussed.
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY
Mathematics, Apr 25, 2024
Zenodo (CERN European Organization for Nuclear Research), Aug 22, 2023
In this study, some results based on various subclasses of harmonic p-valent functions blended wi... more In this study, some results based on various subclasses of harmonic p-valent functions blended with Pascal Distribution Series are provided using lucid mathematical approach.
Ukrainian Mathematical Journal
Nepal Journal of Mathematical Sciences
In the present work, the authors define and determine the bounds on the first few coefficients of... more In the present work, the authors define and determine the bounds on the first few coefficients of the function f(Z) belonging to a new class of analytic functions with complex order associated with modified sigmoid function in the open unit disk.
Symmetry
The research presented in this paper deals with analytic p-valent functions related to the genera... more The research presented in this paper deals with analytic p-valent functions related to the generalized probability distribution in the open unit disk U. Using the Hadamard product or convolution, function fs(z) is defined as involving an analytic p-valent function and generalized distribution expressed in terms of analytic p-valent functions. Neighborhood properties for functions fs(z) are established. Further, by applying a previously introduced linear transformation to fs(z) and using an extended Libera integral operator, a new generalized Libera-type operator is defined. Moreover, using the same linear transformation, subclasses of starlike, convex, close-to-convex and spiralike functions are defined and investigated in order to obtain geometrical properties that characterize the new generalized Libera-type operator. Symmetry properties are due to the involvement of the Libera integral operator and convolution transform.
Fractal and Fractional
In the present article, using the subordination principle, the authors employed certain generaliz... more In the present article, using the subordination principle, the authors employed certain generalized multiplier transform to define two new subclasses of analytic functions with respect to symmetric and conjugate points. In particular, bi-univalent conditions for function f(z) belonging to these new subclasses and their relevant connections to the famous Fekete-Szegö inequality |a3−va22| were investigated using a succinct mathematical approach.
Tbilisi Mathematical Journal
Symmetry
The object of the present work is to investigate certain new classes of bi-univalent functions in... more The object of the present work is to investigate certain new classes of bi-univalent functions introduced in this paper using the concept of subordination. The research involves a generalized multiplier transform defined in this paper which is a generalization of known operators and the modified sigmoid function. The results contained in the proved theorems refer to coefficient estimates for the functions in the newly introduced classes.
MALAYSIAN JOURNAL OF COMPUTING, 2022
In this paper, the authors introduce and study a new class of analytic p-valent functions and its... more In this paper, the authors introduce and study a new class of analytic p-valent functions and its connections with some famous subclasses of analytic and univalent functions associated with shell-like curve and modified sigmoid function in the open unit disk E= {z : z |<1}. In particular, the coefficient condition for function f(z) belonging to the class Bp (λ, β) is investigated using a succinct mathematical approach. In addition, as a special case, convex functions of order 1/4 are shown to be in the aforementioned class Bp(λ, β) in E. With the aid of subordination principle, the authors obtain the first three Taylor-Maclaurin coefficients |ap+1 | , |ap+2 | and |ap+3 | as well as the Fekete-Szegö functional |ap+2 -ηa2p+1| for functions f(z) belonging to the class Bp(λ, β, σ;p ̃) involving modified sigmoid function and associated with shell-like curve.
Considering a function ) (z f which is analytic in the open unit disk E, normalized by 1 ) 0 ( 0 ... more Considering a function ) (z f which is analytic in the open unit disk E, normalized by 1 ) 0 ( 0 ) 0 ( f f and having the power series of the form . ... ) ( 3 3 2 2 z a z a z z f We introduce and study certain new subclass ) , , , ( , , B A M k m of bi-univalent function associated with conic domains in which both f and f are m-fold symmetric analytic functions. It is pertinent to remark here that the first two initial bi-univalent coefficients | | 1 m a and | | 1 2 m a estimated in the present investigation have their application in the construction of some (and not limited to) analytic functional such as Fekete-Szego functional and Hankel determinants to mention but few.
In this paper, the author studies certain new subclasses of uniformly starlike, convex and spiral... more In this paper, the author studies certain new subclasses of uniformly starlike, convex and spiralike functions with negative coefficients. Some properties of functions belonging to these subclasses such as, coefficient estimates, extreme points, growth and distortion bonds are critically investigated.
The main object of the present work is to study two new subclasses of analytic functions where we... more The main object of the present work is to study two new subclasses of analytic functions where we obtain the sharp bounds for their respected Fekete-Szego bogy of coefficients.
Journal of the Egyptian Mathematical Society, 2020
The prime focus of the present work is to investigate some fascinating relations of some analytic... more The prime focus of the present work is to investigate some fascinating relations of some analytic and univalent functions using a subordination theorem.
International Journal of Pure and Apllied Mathematics, 2016
In this present paper, we study a new subclass of δp(A, B, b, ω, λ, l, n) of analytic p−valent fu... more In this present paper, we study a new subclass of δp(A, B, b, ω, λ, l, n) of analytic p−valent functions in the unit disk U = {z : |z| < 1} defined by Aouf et al derivative operator. Coefficient estimates and relevant connection of this class to the famous Fekete-Szego were obtained.
Journal of the Nigerian Mathematical Society, 2019
In this work the author considered new subclasses of analytic univalent functions using certain l... more In this work the author considered new subclasses of analytic univalent functions using certain linear operator. With the operator, the author was able to study several new and existing subclasses of analytic univalent functions in the unit disk. The results presented in this paper include, coefficient estimates (which were later used to investigate certain subclasses of analytic functions with fixed finitely many coefficients) and distortion theorems for functions belonging to these subclasses. Furthermore, some relationships between these subclasses were also discussed.
This article is an open access article distributed under the terms and conditions of the Creative... more This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY