This Community features research findings from postgraduate students. These findings are submitted as theses or dissertations http://hdl.handle.net/123456789/5 2026-04-22T15:11:49Z 2026-04-22T15:11:49Z 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 ANANI, P. Y. http://hdl.handle.net/123456789/4597 2026-04-22T14:43:05Z 2026-01-01T00:00:00Z

Title: CHARACTERISATION OF CHILLI PEPPER (Capsicum annuum L.) ACCESSIONS IN NORTHERN REGION OF GHANA USING AGRO-MORPHOLOGICAL TRAITS AND MOLECULAR MARKERS Authors: ANANI, P. Y. Abstract: Ghana ranks among the top five pepper producers in Africa; however, there is inadequate research regarding farmer practices, morphological and genetic enhancement initiatives for this important crop. Understanding of variabilities in pepper (Capsicum species) will contribute to effective breeding efforts, especially in northern Ghana, where more than 60% of smallholder farmer income is from pepper. The focus of this study was to assess farmers’ knowledge and management practices in pepper cultivation, and to evaluate morphological and genetic variations among Capsicum annuum landraces cultivated in Northern region of Ghana. A cross-sectional survey was carried out using structured questionnaires and field observations to evaluate farmers’ knowledge and Capsicum annuum management practices; morphological characters at the seedling, vegetative, inflorescence and fruiting stages were evaluated using standard descriptors outline by IPGRI, AVRDC & CATIE under rainfed and irrigation conditions. Distinct genetic populations within a collection of 40 Capsicum annuum accessions using 24 simple sequence repeat (SSR) markers. The average acres allocated to pepper farming is 1.04 acres with majority of the farmers using farmer-saved seeds (67.3%). Generally, the farmer rating of improved pepper seeds was low, indicating that the local pepper varieties used in the study were comparable to the improved pepper varieties. A strong positive correlation was detected between days to 50% flowering and days to 50% fruiting for both the rainfed (r = 0.87) and irrigated (r = 0.73) conditions. In general, high performance of the genotypes at the vegetative and inflorescence stages was observed in the dry season, with low fruiting performance (number of fruits per plant, fresh weight, and dry weight). Multivariate analysis revealed that 60.54% (rainy season) and 54.63% (dry season) variations were explained by the first three principal components, respectively. Three main clusters were identified, with linear relationships and no distinct separation pattern based on the sample source. The SSR markers exhibited a polymorphic information content (PIC) below 0.50, with an average value of 0.11. A modest level of genetic diversity among the accessions (HE = 0.063) was observed, with marked genetic differentiation (FST = 0.57). Employing the admixture model based population structure analysis, set at a threshold of 60%, 29 pure genotypes from the 40 accessions used were identified. A phylogenetic analysis categorized the 40 Capsicum accessions into three primary clusters: Cluster I and Cluster II contained two individuals from the Capsicum annuum accession, while Cluster III was further subdivided into two subclusters. Overall, the study demonstrates that pepper production in northern Ghana is dominated by farmer-saved landraces with modest but structured genetic diversity, underscoring the need for location-specific management strategies and targeted breeding programmes to sustainably improve productivity and resilience. Description: REQUIRMENTS FOR THE AWARD OF DOCTOR OF PHYLOSOPHY IN HORTICULTURE

2026-01-01T00:00:00Z ANNOH, E. Y. http://hdl.handle.net/123456789/4593 2026-04-13T15:18:17Z 2025-01-01T00:00:00Z

Title: STUDENTS’PERCEPTIONOFSCHOOLGUIDANCEPROGRAMME ANDITSIMPLICATIONFORCOUNSELLINGPATRONAGEAMONG SHSs WITHINTAMALEMETROPOLIS Authors: ANNOH, E. Y. Abstract: This study aimed to examine students' perceptions of the school guidance programme and its implications for counselling patronage among Senior High Schools within the Tamale Metropolis. Employing a descriptive research design grounded in the positivist philosophical paradigm, the study utilized a proportional stratified sampling technique to select four Senior High Schools within the Tamale Metropolis. The population for the study was 14,453 being form 1, 2 and 3 students from the four selected schools and a sample of 400 respondents were selected for the study. A self-developed structured questionnaire was used to gather the requisite data for the study. Data was analysed using descriptive statistics, including frequencies, percentages, means and standard deviation. The study revealed that students have positive attitude towards the school guidance programme and consider it as effective and beneficial in addressing their academic, career, personal and anxiety concerns. The study also indicated that students’ perceptions of the school guidance programme in relation to its effectiveness and benefits influence their utilization of counselling service. The study recommended that, school authorities and guidance coordinators should provide regular and on-going information about the school guidance programme for students throughout their academic journey and continue with the provision of high-quality and effective services that address the diverse needs of students. Description: REQUIREMENTFORTHEAWARDOFMASTEROFPHILOSOPHY INGUIDANCEANDCOUNSELLING

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