Conjectures on the Taylor Series Expansion Coefficients of the Jacobian Elliptic Function sn(x, k)

Arne Fransen
1981 Mathematics of Computation  
Two conjectures are posed for the coefficients introduced by Alois Schett in the Taylor series expansion of the Jacobian elliptic function 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.
doi:10.2307/2007439 fatcat:ufl4fhqx6rdqrlftue2yr7xfy4