## Padé approximation and its applications, Amsterdam 1980: proceedings of a conference held in Amsterdam, The Netherlands, October 29-31, 1980 |

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### Contents

The long history of continued fractions and Pade | 1 |

GRAVESMORRIS P R Efficient reliable rational approximation | 28 |

WERNER H Nonlinear splines some applications to singular | 64 |

Copyright | |

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### Common terms and phrases

A-acceptable A-region analytic analytic functions applications assume Bessel polynomials biorthogonal bounded calculation coefficients compact set compute condition number consider continued fraction convergence acceleration corresponding d'interpolation da(t defined Démonstration denominator denote determined deux diagonal differential equation diophantine equation error analysis exact example exists exponential exponential function finite formula given Green's function Hence inequalities inner product integral interpolation points inverse iterative Laplace transform Lemma Let f lim sup Math matrix meromorphic method n+v+1 obtained orthogonal polynomials Pad6 Pade approximants Pade table PadS partir peut Phys poles polynôme polynomial interpolation polynomial of degree positive power series Proof Proposition proved rational approximations rational function rational interpolation problem recurrence result satisfying Section sequence singularity solution spline Stieltjes suites Suppose Taylor series theorem 2.3 theory Thiele fraction tion Toeplitz Toeplitz matrix tout vector Wuytack zeros of Q