De Montessus de Ballore theorem for Pade approximation.
Date
1994
Authors
Chou, Pʻing
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Abstract
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)
Description
A research report submitted to the Faculty of Science, University of the Witwatersrand,
Johannesburg, in partial fulfilment of the degree of Master of Science
Keywords
Padé approximant., Approximation theory.