Ibrahim, T.T.Abubakar, Jos U.Koffa, D.J.Salau, M.A.Adekanbi, I.O.2023-05-242023-05-242019-01https://uilspace.unilorin.edu.ng/handle/20.500.12484/10791The 2+1 dimensional Dirac equation is solved for electron in an oscillator potential together with external fields. Approximate eigenenergies are determined from a second order recurrence relation using the Hill determinant technique. In addition, the technique is shown to generate wave functions for the quasi-exactly solvable problem. Finite analytic closed form for the recurrence relation derived using the recursive-sum plus discrete dimensional-convolution techniques is shown to be in agreement with the analytic result from the finite Hill determinant.enArticle