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On the Padé table for \(e^{x}\) and the simple continued fractions for \(e\) and \(e^{L/M}\)

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Publication:1039644
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DOI10.1007/s11139-008-9134-0zbMath1182.30060OpenAlexW2080699165MaRDI QIDQ1039644

John H. McCabe

Publication date: 23 November 2009

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-008-9134-0

zbMATH Keywords

Padé approximantscontinued fractionsPadé tables


Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Padé approximation (41A21) Continued fractions; complex-analytic aspects (30B70)


Related Items

Rational approximations of the exponential function at rational points ⋮ Padé approximation and continued fractions



Cites Work

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  • The Quotient-Difference Algorithm and the Pade Table: An Alternative Form and a General Continued Fraction
  • A Short Proof of the Simple Continued Fraction Expansion of 𝑒
  • A Proof of the Continued Fraction Expansion of 𝑒1/M
  • The Simple Continued Fraction Expansion of e
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