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Papers by uzoamaka ezeafulukwe

Research paper thumbnail of Some applications of differential subordination to the Hadamard product

We classify the possible closures of leaves of the isoperiodic foliation defined on the Hodge bun... more We classify the possible closures of leaves of the isoperiodic foliation defined on the Hodge bundle over the moduli space of genus g ≥ 2 curves and prove that the foliation is ergodic on those sets. The results derive from the connectedness properties of the fibers of the period map defined on the Torelli cover of the moduli space. Some consequences on the topology of Hurwitz spaces of primitive branched coverings over elliptic curves are also obtained. To prove the results we develop the theory of augmented Torelli space, the branched Torelli cover of the Deligne-Mumford compactification of the moduli space of curves.

Research paper thumbnail of Certain Properties ofq-Hypergeometric Functions

International Journal of Mathematics and Mathematical Sciences, 2015

The quotients of certainq-hypergeometric functions are presented asg-fractions which converge uni... more The quotients of certainq-hypergeometric functions are presented asg-fractions which converge uniformly in the unit disc. These results lead to the existence of certainq-hypergeometric functions in the class of eitherq-convex functions,PCq, orq-starlike functionsPSq*.

Research paper thumbnail of Integral means for k-uniformly starlike Hurwitz-Lerch Zeta fractional power functions

AIP Conference Proceedings, 2014

We extended the integral operator defined in [13] to the fractional power of Hurwitz-Lerch Zeta f... more We extended the integral operator defined in [13] to the fractional power of Hurwitz-Lerch Zeta functions.We define a family of k-uniform starlike of such function. We obtained the necessary and sufficient condition F to belong to such family. We also found the integral means of such family of functions and establish an application of differential subordination theorem to a subclass of factional power functions.

Research paper thumbnail of User perceptions towards the use of colour as authentication method: Focus on FTMSK lecturer

2008 International Conference on Computer and Communication Engineering, 2008

Abstract Regular text-based password was the most common method of authentication these days, but... more Abstract Regular text-based password was the most common method of authentication these days, but it often leads user to choose weak password. As a result, the password was easily broken or cracked through password dictionary attack or brute-force attack. ...

Research paper thumbnail of Some Properties of Certain Class of Analytic Functions

International Journal of Mathematics and Mathematical Sciences, 2014

We obtain some properties related to the coefficient bounds for certain subclass of analytic func... more We obtain some properties related to the coefficient bounds for certain subclass of analytic functions. We also work on the differential subordination for a certain class of functions.

Research paper thumbnail of Applications of Differential Subordination to the Generalized Dziok-Srivastava Convolution Operator

Far East Journal of Mathematical Sciences, 2015

In this article, we investigate some inclusion properties of the generalized Dziok-Srivastava con... more In this article, we investigate some inclusion properties of the generalized Dziok-Srivastava convolution operator on some class of analytic functions. Using the principle of differential subordination, we extended the work done by Xu et al. [6] to the τ-valent type and calculated some sharp results. Uzoamaka A. Ezeafulukwe and Maslina Darus 76

Research paper thumbnail of Certain Subclass of Univalent Functions Involving Fractional Q-Calculus Operator

JOURNAL OF ADVANCES IN MATHEMATICS

The main object of the present paper is to introduce certain subclass of univalent function assoc... more The main object of the present paper is to introduce certain subclass of univalent function associated with the concept of differential subordination. We studied some geometric properties like coefficient inequality and nieghbourhood property, the Hadamard product properties and integral operator mean inequality.

Research paper thumbnail of On analytic properties of a sigmoid function

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.

Research paper thumbnail of A Note on q–Calculus

Fasciculi Mathematici, 2015

In this article, we let PCq denote the class of q-convex functions. Certain analytic properties o... more In this article, we let PCq denote the class of q-convex functions. Certain analytic properties of the class PCq are studied. The maximum of the absolute value of the Fekete-Szegö functional is briey determined.

Research paper thumbnail of Some applications of differential subordination to the Hadamard product

We classify the possible closures of leaves of the isoperiodic foliation defined on the Hodge bun... more We classify the possible closures of leaves of the isoperiodic foliation defined on the Hodge bundle over the moduli space of genus g ≥ 2 curves and prove that the foliation is ergodic on those sets. The results derive from the connectedness properties of the fibers of the period map defined on the Torelli cover of the moduli space. Some consequences on the topology of Hurwitz spaces of primitive branched coverings over elliptic curves are also obtained. To prove the results we develop the theory of augmented Torelli space, the branched Torelli cover of the Deligne-Mumford compactification of the moduli space of curves.

Research paper thumbnail of Certain Properties ofq-Hypergeometric Functions

International Journal of Mathematics and Mathematical Sciences, 2015

The quotients of certainq-hypergeometric functions are presented asg-fractions which converge uni... more The quotients of certainq-hypergeometric functions are presented asg-fractions which converge uniformly in the unit disc. These results lead to the existence of certainq-hypergeometric functions in the class of eitherq-convex functions,PCq, orq-starlike functionsPSq*.

Research paper thumbnail of Integral means for k-uniformly starlike Hurwitz-Lerch Zeta fractional power functions

AIP Conference Proceedings, 2014

We extended the integral operator defined in [13] to the fractional power of Hurwitz-Lerch Zeta f... more We extended the integral operator defined in [13] to the fractional power of Hurwitz-Lerch Zeta functions.We define a family of k-uniform starlike of such function. We obtained the necessary and sufficient condition F to belong to such family. We also found the integral means of such family of functions and establish an application of differential subordination theorem to a subclass of factional power functions.

Research paper thumbnail of User perceptions towards the use of colour as authentication method: Focus on FTMSK lecturer

2008 International Conference on Computer and Communication Engineering, 2008

Abstract Regular text-based password was the most common method of authentication these days, but... more Abstract Regular text-based password was the most common method of authentication these days, but it often leads user to choose weak password. As a result, the password was easily broken or cracked through password dictionary attack or brute-force attack. ...

Research paper thumbnail of Some Properties of Certain Class of Analytic Functions

International Journal of Mathematics and Mathematical Sciences, 2014

We obtain some properties related to the coefficient bounds for certain subclass of analytic func... more We obtain some properties related to the coefficient bounds for certain subclass of analytic functions. We also work on the differential subordination for a certain class of functions.

Research paper thumbnail of Applications of Differential Subordination to the Generalized Dziok-Srivastava Convolution Operator

Far East Journal of Mathematical Sciences, 2015

In this article, we investigate some inclusion properties of the generalized Dziok-Srivastava con... more In this article, we investigate some inclusion properties of the generalized Dziok-Srivastava convolution operator on some class of analytic functions. Using the principle of differential subordination, we extended the work done by Xu et al. [6] to the τ-valent type and calculated some sharp results. Uzoamaka A. Ezeafulukwe and Maslina Darus 76

Research paper thumbnail of Certain Subclass of Univalent Functions Involving Fractional Q-Calculus Operator

JOURNAL OF ADVANCES IN MATHEMATICS

The main object of the present paper is to introduce certain subclass of univalent function assoc... more The main object of the present paper is to introduce certain subclass of univalent function associated with the concept of differential subordination. We studied some geometric properties like coefficient inequality and nieghbourhood property, the Hadamard product properties and integral operator mean inequality.

Research paper thumbnail of On analytic properties of a sigmoid function

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.

Research paper thumbnail of A Note on q–Calculus

Fasciculi Mathematici, 2015

In this article, we let PCq denote the class of q-convex functions. Certain analytic properties o... more In this article, we let PCq denote the class of q-convex functions. Certain analytic properties of the class PCq are studied. The maximum of the absolute value of the Fekete-Szegö functional is briey determined.