Engelbrecht, Kevin Peter2017-05-252017-05-251991Engelbrecht, Kevin Peter (1991) Orthogonal polynomials and three-term recurrence relations, University of Witwatersrand, Johannesburg, <http://wiredspace.wits.ac.za/handle/10539/22720>http://hdl.handle.net/10539/22720A research report submitted to the Faculty of Science of the University of the Witwatersrand, in partial fufillment of the degree of Master of Science, Johannesburg 1991.Orthogonal polynomials have had a long history. They have featured in the work of Legendre on planetary motion, continued fractions of Stieltjes, mechanical quadrature of Gauss etc. After the publication of 'Orthogonal Polynomials' by Gabor Szego in 1938 relatively little was published on orthogonal polynomials. This changed in the 1970's when increased interest in approximation theory brought about by the incredible upsurge in the use of the computer in the sciences occurred. [Abbreviated Abstract. Open document to view full version]Online resource (55 leaves)enPolynomialsOrthogonal polynomialsThesis