Chou, Pʻing2019-02-132019-02-131994https://hdl.handle.net/10539/26388A research report submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in partial fulfilment of the degree of Master of ScienceThe importance of Pade approximation has been increasingly recognized in ' recent years. The first convergence result of Pade approximants valid for general meromorphic functions was obtained by de Montessus de Ballore in 1902. He proved that when a function f has precisely n poles in I z 1< R, then the (n+ 1)th column in thePade table of f converges to f in I z J< R. (Abbreviation abstract)enPadé approximant.Approximation theory.Thesis