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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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Conjectures on the Taylor series expansion coefficients of the Jacobian elliptic function $\textrm {sn}(x, k)$
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by Arne FransΓ©n PDF
Math. Comp. 37 (1981), 475-494 Request permission


Two conjectures are posed for the coefficients introduced by Alois Schett in the Taylor series expansion of the Jacobian elliptic function ${\text {sn}}(x,k)$. The first conjecture is furnished with a proof revealing a procedure which might be useful when calculating further coefficients. Some of the coefficients are tabulated.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 475-494
  • MSC: Primary 33A25
  • DOI:
  • MathSciNet review: 628708