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Padé-type approximants of \(\exp(-z)\) whose denominators are \((1+z/n)^ n\)

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Publication:1051389
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DOI10.1007/BF01390128zbMath0514.65006MaRDI QIDQ1051389

Jeanette van Iseghem

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132902


zbMATH Keywords

A-acceptabilityexp(-t)Pade-type approximants


Mathematics Subject Classification ID

Padé approximation (41A21) Computation of special functions and constants, construction of tables (65D20) Exponential and trigonometric functions (33B10)


Related Items

On the A-acceptability of Padé-type approximants to the exponential with a single pole ⋮ Padé-type approximants of entire functions and acceleration of convergence: Two examples ⋮ Some recent results on the zeros of Bessel functions and orthogonal polynomials



Cites Work

  • Padé-type approximation and general orthogonal polynomials
  • Approximation of exp(-x) by rational functions with concentrated negative poles
  • C-polynomials for rational approximation to the exponential function
  • Geometric convergence to \(e^{-z}\) by rational functions with real poles
  • On the A-Acceptability of Rational Approximations that Interpolate the Exponential Function
  • Properties of certain rational approximations toe −z
  • Rational exponential approximation with real poles
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