
Emelike UkejeMichael Okpara University of Agriculture · Department of Mathematics
Emelike Ukeje
B. Sc mathematics)MOUAU, M. Sc mathematics(ABSU), M. Phil /Ph.D Mathematics (LAUTECH)
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Introduction
Emelike Ukeje currently is an academic staff of the Department of Mathematics, Michael Okpara University of Agriculture, Umudike. Emelike researches in complex analysis specifically geometric function theory.
Skills and Expertise
Publications
Publications (10)
Necessary and sufficient conditions for neutrosophic Poisson probability distribution series to be in the classes M n γ (θ) were derived by means of coefficient inequalities. The results obtained further strengthening the relationships between geometric function theory and statistics and by extension, fuzzy logic.
The study of behaviour of coe cients of some analytic functions in a unit disk is interesting due to its wide application in the study of geometric function.The work will study the coe cient properties of a certain class of generalized Bi-univalent functions.The research work proved that application of Salagean diferential operator on a subclass of...
In this investigation we introduce and study a subclass of harmonic univalent functions associated with error function and salagean operator using convolutional approach. Coefficient estimate, distortion bounds, growth theorem,
extreme points and convex combination were established for a new class T H,n(λ). Consequently, our results are new
approac...
The work redefined a general subclass of bi-univalent functions using Ruscheweyh derivative ,establish connections with already existing class and obtained their coefficient estimates using Faber polynomials expansion. There is an improvement on the bounds following introduction of omega-fixed point.
In this paper, we reviewed the work of J. Dziok and H.M. Srivastava using a new subclass of analytic functions with fixed point and fixed argument, provided alternative proofs supporting some of their claims.We also resolved the quadratic inequality in their work using a property of Bilinear Transformation. We intend to restrict our discussions to...
Abstract
Researchers have written extensively on some properties of a new class of analytic and univalent functions in the unit disk. In this work, we used a differential operator to redefine these classes of functions. The coefficient and convolution results were different from the previous results obtained except when we allow n=0. This provides...
: Results are available for boundedness and periodicity of solution for a second order non-linear
ordinary differential equation. However the issue of stability of solutions in combination with boundedness and
periodicity is rare in literature. In this paper, stability boundedness and periodicity of solutions have been
shown to exist in a non-linea...
The relationship between Fréchet derivative and implicit function theorem in Banach Spaces were considered. The proof was shown to exist if non-critical assumptions were made on Fréchet partial derivative and strong Fréchet differentiability in a neighborhood. The role of implicit function theorem in investigating the existence and uniqueness of so...