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A Rational Triplic Form for the Exponential

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Journal of Computational Analysis and Applications

Abstract

The theory of the power series solution is applied to the Hamburger DE to derive an improper fraction triplic form, E2 N(x), for ex on the real line. E2 N turns out to be a simpler equivalent to the vertical sequence P2 N of the related Padé table PM N and with comparable summation features.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, American University of Beirut, and Suffolk University, Boston, Massachusetts, 02114. E-mail

    Nassar H. S. Haidar

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  1. Nassar H. S. Haidar
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Haidar, N.H.S. A Rational Triplic Form for the Exponential. Journal of Computational Analysis and Applications 4, 389–404 (2002). https://doi.org/10.1023/A:1019963928213

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  • DOI: https://doi.org/10.1023/A:1019963928213

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