http://hdl.handle.net/123456789/11 2026-04-23T16:58:38Z 2026-04-23T16:58:38Z HASHIMU, M. http://hdl.handle.net/123456789/4599 2026-04-22T14:47:40Z 2026-01-01T00:00:00Z

Title: A TWO- PARAMETER GENERALISATION OF THE GAMMA FUNCTION AND ITS PROPERTIES Authors: HASHIMU, M. Abstract: This thesis presents a significant contribution to the field of special functions by introducing and thoroughly analyzing a novel two-parameter generalization of the Gamma function: the ( ,v)-generalizedGammafunction.Theresearchsuccess fully addressed a critical gap in the literature by unifying previously disparate generalizations, such as the-analogue and v-analogue Gamma functions. The thesis meticulously presented the ( , v)-generalizedGamma function through amodified integral representationandderivedseveral keyproperties, including recurrence relations and integral representations. A core strength of the work lies in its exploration of the properties and associated inequalities of the ( ,v) generalized Gamma function. Key analytical tools employed include H¨older’s inequality and Young’s inequality, alongwith techniques of integrationand di↵erentiation. The proofs provided are rigorous and clearly presented. Description: REQUIREMENTS FOR THE AWARD OF MASTER OF PHILOSOPHY IN MATHEMATICS

2026-01-01T00:00:00Z ISSAH, A. http://hdl.handle.net/123456789/4598 2026-04-22T14:44:28Z 2025-01-01T00:00:00Z

Title: THE FLOW OF CASSON FLUIDS THROUGH POROUS MEDIA Authors: ISSAH, A. Abstract: This research presents an investigation of a two-dimensional steady flow of an incompressible Casson fluid. The flow is assumed to be in a porous medium with a chemical process and a magnetic field transversely acting on an exponentially stretched surface. The study is significant as the majority of the flow industry exhibits behaviors of a non-Newtonian in nature. The governing equations of the model were derived in the form of partial differential equations, and suitable similarity variables were employed to model the transformation. These produced a coupled form of nonlinear higher-order ordinary differential equations, which were then reduced to a system of first-order ordinary differential equations. The fourth-order Runge–Kutta–Fehlberg method, along with the shooting techniques, was used to obtain numerical solutions using the Maple Software package. Numerical results for the skin friction coefficient, the Nusselt number, and the Sherwood number, which are the most important quantities of interest in engineering practice and give insights into the flow dynamics, were computed and displayed in tables. Graphical results have also been displayed for the model to depict the effects of the controlling parameters on the flow. It was noticed that increases in the Casson parameter caused the skin friction coefficient to rise, which was accompanied by a decline in the speed of heat and mass transfers. This further resulted in a lower speed of flow along with an enhancement of the thermal boundary layer thickness. The study, therefore, concludes that the use of Casson fluids is crucial in controlling flow kinematics, which are important in achieving desired product characteristics Description: REQUIREMENTS FOR THE AWARD OF MASTERS OF PHILOSOPHY DEGREE IN MATHEMATICS

2025-01-01T00:00:00Z JOSHUA, M. B. http://hdl.handle.net/123456789/4527 2025-11-24T11:39:53Z 2025-01-01T00:00:00Z

Title: MULTI-OBJECTIVE OPTIMIZATION MODEL FOR FARM PLANNING IN SOME SELECTED SMALL-SCALE FARMS IN NAVRONGO, GHANA Authors: JOSHUA, M. B. Abstract: The small-scale agricultural sector makes a substantial contribution to a country's economic growth. The goal of this research is to create a multi-objective optimization model for farm planning that maximize returns whilst minimizing labour cost for optimal land use. To do this, three optimization models were developed using the weighted sum and epsilon-constraint method for multi-objective programming and solved by optimization techniques, using a management scientist software version 6.0. These three models were discussed in detailed and tested using data collected from some selected small-scale vegetables, cereals and legume farmers in some parts of Navrongo in the Kesena Nankana Municipality of the Upper East region of Ghana. Model 1 suggested an optimal land use and an increased in returns for all the test it was employed on. Also model 2 showed an increased in returns in all test cases while suggesting an optimal land use as well. Furthermore, model 3 showed a decreased in cost of employing labour whiles suggesting an optimal land usage. In all cases, the models were found to be robust for both the vegetables, cereal and legume farming through the sensitivity analysis done for the range of values for the coefficients of the decision variables and the constraints. In general, the developed models helped the small-scale farmers to maximize returns as well as minimizing the cost of labour whilst proposing optimal use of the farm land. Consequently, it is recommended that future works could consider adding other parameters like fertilizers application or type of fertilizer used, soil type, water requirements, etc. to see how the model will work. Description: AWARD OF MASTER OF PHILOSOPHY IN MATHEMATICS

2025-01-01T00:00:00Z Biney, G. http://hdl.handle.net/123456789/4019 2023-05-26T10:38:19Z 2021-01-01T00:00:00Z

Title: ROBUST ADAPTIVE SCHEME FOR GAUSS MARKOV MODEL Authors: Biney, G. Abstract: The Hogg’s adaptive scheme is extended to the Gauss Markov Model. The Gauss Markov model is a statistical procedure which belongs to the class of general linear model. Gauss Markov model is very sensitive to nonnormality, variance heterogeneity as well as large sample size. These assumptions may be violated as a result of departures from normality and small sample size. To overcome these problems, an Adaptive Scheme is adopted. The Adaptive Scheme is a two step procedure in which a selector statistic is used to first exam ine and classify given data based on measures of skewness and tailweight. Afterwards, a test statistic, independent of the selector statistic is chosen and a test conducted. A One way Analysis of Variance and Repeated Measures Design models were considered under uncorrelated and correlated error distributions respectively. The nine winsorised scores proposed by Hettmansperger (1984) were used because they are considered the most ap propriate rank scores for hypothesis testing. The Winsorised scores as well accommodate a wide range of distributions which are either symmetric or asymmetric with varying tail weights. In addition, the benchmarks for cut-off values for the measures of skewness and tailweights postulated by Al-Shomrani (2003) in his PhD dissertation were used. 10,000 simulations were conducted to compare the performance of the Adaptive Scheme and the Gauss Markov model from different continuous distributions under uncorrelated and correlated errors. Analyses of real datasets were as well performed to ascertain the effi ciency of the two tests. The findings favoured the Adaptive Scheme under a broad class of continuous distributions especially for non-normal distributions. The adaptive scheme is applicable to both small and large samples. It is therefore recommended that Statis ticians, Researchers and Data Analysts be encouraged to use adaptive schemes because they are applicable to a broad class of distributions. Description: DOCTOR OF PHILOSOPHY IN APPLIED STATISTICS

2021-01-01T00:00:00Z