Conjectures on the Taylor series expansion coefficients of the Jacobian elliptic function

Author:
Arne Fransén

Journal:
Math. Comp. **37** (1981), 475-494

MSC:
Primary 33A25

DOI:
https://doi.org/10.1090/S0025-5718-1981-0628708-X

MathSciNet review:
628708

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Abstract: Two conjectures are posed for the coefficients introduced by Alois Schett in the Taylor series expansion of the Jacobian elliptic function . 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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DOI:
https://doi.org/10.1090/S0025-5718-1981-0628708-X

Keywords:
Elliptic functions

Article copyright:
© Copyright 1981
American Mathematical Society