De Montessus de Ballore theorem for Pade approximation.
The 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)
A research report submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in partial fulfilment of the degree of Master of Science
Padé approximant., Approximation theory.