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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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Calculation of the Taylor series expansion coefficients of the Jacobian elliptic function $\textrm {sn}(x, k)$
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by Staffan Wrigge PDF
Math. Comp. 36 (1981), 555-564 Request permission


The Taylor series expansion coefficients of the Jacobian elliptic function ${\text {sn}}(x,k)$ and its power ${\text {sn}}^2(x,k)$ are studied. Recurrence formulae are given, and tables of the coefficients constructed. Using Lagrangeโ€™s inversion formula, these coefficients can be expressed in terms of Legendre polynomials.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 36 (1981), 555-564
  • MSC: Primary 65D20; Secondary 33A25
  • DOI:
  • MathSciNet review: 606513