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

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

WYNNthe (v 4-l)th column and the (n 4-l)th row.Such an array is referred to as the Padé table of the function ß(x), and the condition that it may be constructed from the systems of equations (2.3) is that all the Hankel determinants (2.4)should be non-zero.Since the successive convergents of the …