Coppin, Graham2018-01-032018-01-031990http://hdl.handle.net/10539/23586A research report submitted to the Faculty of Science, University of the Witwatersrand, in partial fulfillment of the degree of Master of Science.The Toeplitz form is a most useful and important teo! in many areas of applied. mathematics today including signal processing, time-series analysis and prediction theory. It is even used in quantum mechanics in Ising model correlation functions. (Abbreviation abstract)enToeplitz matricesEigenvaluesOrthogonal polynomialsThesis