# Mathematics Research Papers/Topics

##### The (P,Q)-Analogues Of Some Inequalities For The Digamma Function

Abstract. In this paper, we present the (p,q)-analogues of some inequalities concerning the digamma function. Our results generalize some earlier results.

5 PAGES (1606 WORDS)
##### Some Inequalities for the k-Digamma Function

Abstract Some inequalities involving the k-digamma function are presented. These results are the k-analogues of some recent results.

5 PAGES (1352 WORDS)
##### Mathematical Analysis of Hemodynamic Pulse Wave in Human Fluid -Structure Interaction

Abstract  The mathematical study of human pulse wave was studied with the view to gaining an insight into physiological situations. Fluid-Structure Interaction (FSI) in blood flow is associated with pressure pulse wave arising from ventricular ejection. Solution of the coupled system of non-linear PDEs that arose from the FSI was sought in order to determine pressure. Further study on pressure pulse waves showed that the Korteweg-de Vries (KdV) equations hold well for the propagation of nonl...

124 PAGES (30799 WORDS)
##### Magnetohydrodynamic Unsteady Free Convection Flow Past Vertical Porous Plates with Suction and Oscillating Boundaries

ABSTRACT In this dissertation, the problems of Magnetohydrodynamic unsteady free convection flow past vertical porous plates with suction and oscillating boundaries are studied. The linear and nonlinear partial differential equations governing the flow problems and boundary conditions were transformed into dimensionless form, and the perturbation techniques applied in getting analytical solutions for the velocity, temperature, the skin friction coefficient and Nusselt number. It was obse...

121 PAGES (23390 WORDS)
##### Mathematical Models For Influenza A Virus And Pneumococcus: Within–Host And Between–Host Infection

ABSTRACT Infectious diseases have become problematic throughout the world, threatening individuals who come into contact with pathogens responsible for transmitting diseases. Pneumoccocal pneumonia, a secondary bacterial infection follows an influenza A infection, responsible for morbidity and mortality in children, elderly and immuno–comprised groups. The aims of this Thesis are to; develop a mathematical model for within–host co–infection of influenza A virus and pneumococcus, model ...

198 PAGES (44051 WORDS)
##### Overflow Detection And Correction Techniques In Rns Arithmetic Computations

ABSTRACT There is speed limitation on hardware built on Weighted Number Systems (WNS) due to carry propagation. In recent years, attempts have been made to circumvent the speed limitation imposed on WNS in arithmetic operations by investigating into number systems such as Residue Number System (RNS) which has special carry characteristics for parallel computations. RNS is carry-free in nature and is able to support parallel and high speed arithmetic such as addition and multiplication. Overfl...

99 PAGES (18665 WORDS)
##### Some Inequalities For Q And (Q,K) Deformed Gamma Functions

Abstract  In this short paper, the authors establish some inequalities involving the q and (q,k) deformed Gamma functions by employing some basic analytical techniques.

6 PAGES (1807 WORDS)
##### Unsteady Stagnation Point Flow With Partial Slip

ABSTRACT  The no-slip boundary condition at a solid-liquid interface is primarily to understanding fluid mechanics. However, this condition is an assumption that cannot be derived from first principles and could, in theory, be violated. In this work, we investigate numerically and theoretically the subject involving partial slip boundary conditions. The physical imagery that emerges is that of a complex behaviour at an unsteady hydromagnetic stretching solid interface, with stagnation point ...

111 PAGES (15569 WORDS)
##### Deformation And Field Near A Crack Tip Under Thermal Stress

ABSTRACT In this research, we investigated the deformation field near a crack tip due to thermal stress. Crack tip singularities are examined using a line integral that exhibits path independence of all contours near the tip of the crack in a two-dimensional deformation field of an elastic material. The approach of using the J- Integral is used to extract the magnitude of crack tip stress intensity factor for thermal stress crack problem. The characteristics of the J-integral in the presence...

60 PAGES (10088 WORDS)
##### The k-Analogues of Some Inequalities for the Digamma Function

Abstract In this paper, we present the k-analogues of some inequalities concerning the digamma function.

5 PAGES (1063 WORDS)
##### Quasiconvex Functions On Time Scales And Applications

ABSTRACT  In this thesis, the notion of quasiconvex functions on time scales and some properties are established. The subdifferential for quasiconvex function on time scales is presented as well as some properties regarding quasiconvex function. Some Jensen’s inequalities for quasiconvex functions on time scales are also given with some applications. The study again proves that Jensen’s inequality holds for quasiconcave monetary utility function in conjunction with convex, concave, quasi...

94 PAGES (14370 WORDS)
##### Temporal Modelling Of Currency In Circulation In Ghana

ABSTRACT  The Currency in Circulation is the outstanding amount of notes and COIns circulated in the economy and are the most liquid monetary aggregate. In this study, data on monthly Currency in Circulation obtained from the Bank of Ghana database was modelled using both SARIMA model and Regression model with ARIMA errors. The results revealed that ARIMA (0, 1, 1)(0, 1, 1)12 model was the best SARIMA model for the Currency in Circulation. This model has the least AIC of -372.16, AICc of -37...

107 PAGES (19932 WORDS)
##### Application Of Linear Programming To Media Selection Planning: A Case Study Of Mobile Telecommunication Network (Mtn)

ABSTRACT Generally this research used Linear Programming techniques to investigate the budgetary allocation of MTN Company for effective media selection planning. The problem was formulated as a linear programming technique by using the available data obtained from the company and other media sources. Mathematical software which embodied the simplex algorithm techniques such as Quantitative Manager for Business version 3.2 and Linear Programming Solver version 5.2.2 were used to solve the res...

91 PAGES (18668 WORDS)
##### A Construction Of P-Groups Via Wreath Products

ABSTRACT This research is essentially an upgrade or extension of the results of Audu on wreath product of permutation groups. In this work, a generalization of the concept of wreath product is considered based on the notion of an algebraic structure called Permutation group. Some basic procedures for computing wreath products of groups, the construction of groups as wreath products of cyclic groups and a generation of Sylow p-subgroups from resulting Cyclic groups are investigated. I mainly a...

57 PAGES (18274 WORDS)
##### Modelling Extreme Temperature Behaviour In Upper East Region, Ghana.

ABSTRACT The impacts of extremely high temperatures on plants, human beings and animals’ health have been studied in several parts of the world. However, extreme events are uncommon and have only attracted attention recently. In this study, extreme temperature behaviour was modelled through the application of extreme value theory using maximum monthly temperatures over a 32 years period. Data on monthly maximum temperature from the Upper East Region were modelled using generalized extreme ...

86 PAGES (17009 WORDS)

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