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JacobiDN






Mathematica Notation

Traditional Notation









Elliptic Functions >JacobiDN[z,m]





Transformations (192 formulas)


>   Transformations and argument simplifications (39 formulas)
>   Addition formulas (18 formulas)
>   Half-angle formulas (1 formula)
>   Multiple arguments (6 formulas)
>   Products of a single Jacobi function (4 formulas)
>   Sums over products of two Jacobi functions (15 formulas)
>   Sums over products of three Jacobi functions (45 formulas)
>   Sums over products of four Jacobi functions (35 formulas)
>   Sums over products of five Jacobi functions (10 formulas)
>   Sums over products of six Jacobi functions (9 formulas)
>   Sums over products of seven Jacobi functions (4 formulas)
>   Sums over products of arbitrarily many Jacobi functions (6 formulas)