De Montessus de Ballore theorem for Pade approximation.
No Thumbnail Available
Date
1994
Authors
Chou, Pʻing
Journal Title
Journal ISSN
Volume Title
Publisher
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.