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Some generalizations of the Euler-Knopp transformation

  • Numerical Approximation of Transverse Shearing Stress in Bent Plates
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Summary

The purpose of this paper is to construct a generalization of the Euler-Knopp transformation. Using this, one may recover previously known transformations, derive new transformations useful for numerical calculations and derive generating functions and other formulas of theoretical interest involving well-known functions.

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Authors and Affiliations

  1. Istituto di Calcoli Numerici, Università di Torino, Via Carlo Alberto, 10, I-10123, Torino, Italy

    Bruno Gabutti

  2. Argonne National Laboratory, 9700 South Cass Avenue, 60439, Argonne, IL, USA

    J. N. Lyness

Authors
  1. Bruno Gabutti
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  2. J. N. Lyness
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Additional information

This work was supported by the Applied Mathematical Science Research Subprogram of the Office of Energy Research of the U.S. Department of Energy under Contract W-31-109-Eng-38

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Gabutti, B., Lyness, J.N. Some generalizations of the Euler-Knopp transformation. Numer. Math. 48, 199–220 (1986). https://doi.org/10.1007/BF01389869

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  • DOI: https://doi.org/10.1007/BF01389869

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