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Padé table

Known as: Pade table, Padé table for exponential function 
In complex analysis, a Padé table is an array, possibly of infinite extent, of the rational Padé approximants Rm, n to a given complex formal power… 
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Papers overview

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2017
2017
Peakons are special weak solutions of a class of nonlinear partial differential equations modelling non-linear phenomena such as… 
2005
2005
We study recurrence relations and biorthogonality properties for polynomials and rational functions in the problem of the Pade… 
1996
1996
We investigate the relationships among the Pade table, continued fraction expansions and perfect reconstruction (PR) filter banks… 
Review
1993
Review
1993
We first review briefly the Newton-Padé approximation problem and the analogous problem with additional interpolation conditions… 
1989
1989
This paper investigates the structure and degeneracy in the table of quadratic Hennite-Pade forms. In §2 it is noted that a space… 
Review
1983
Review
1983
The quotient-difference algorithm is applied to a given power series in a modified way, and various continued fractions provided… 
Review
1976
Review
1976
Abstract : In this paper we survey recent results and present some new theorems on the behavior of Pade approximants for e(-z… 
1974
1974
Abstract : The Pade table of a formal power series is a natural extension of the Taylor series to rational functions. It has… 
1972
1972
Simple recursion formulas are presented for computing the coefficients in the Pade table of a power series f(x). A Fortran…