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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Properties of the Taylor series expansion coefficients of the Jacobian elliptic functions
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by Alois Schett PDF
Math. Comp. 30 (1976), 143-147 Request permission

Abstract:

Properties of the Taylor series expansion coefficients of the Jacobian elliptic functions and tables for the first fifteen leading terms are given. Relations of these coefficients with the randomization distributions are shown.
References
  • Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents. MR 0167642
  • Paul F. Byrd and Morris D. Friedman, Handbook of elliptic integrals for engineers and scientists, Die Grundlehren der mathematischen Wissenschaften, Band 67, Springer-Verlag, New York-Heidelberg, 1971. Second edition, revised. MR 0277773
  • F. N. David, M. G. Kendall, and D. E. Barton, Symmetric function and allied tables, Cambridge University Press, Cambridge, England, 1966. MR 0202226
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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Math. Comp. 30 (1976), 143-147
  • MSC: Primary 65D20; Secondary 33-00
  • DOI: https://doi.org/10.1090/S0025-5718-1976-0391477-3
  • MathSciNet review: 0391477