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The Rational Approximation of Functions which are Formally Defined by a Power Series Expansion

1960
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Mathematics of Computation
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1. Introduction. The advent of high speed digital computers and the consequent intensification of interest in the study of numerical analysis has caused considerable attention to be paid to the problem of obtaining approximation formulas for functions which occur in the theory of mathematical physics. It is the purpose of this note to describe the theory underlying various methods of obtaining rational approximations to functions which are formally defined by a power series expansion ; it is

doi:10.2307/2003209
fatcat:gajcdvs7mvfzxl7mfoxgdrxffu