elliptic integral
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Examples forElliptic Functions

Elliptic Integrals

Plot an elliptic integral:

plot EllipticE(t)

Compute a series expansion for nome:

series EllipticNomeQ(m)

Jacobi Elliptic Functions

Plot sn(z, m) for a fixed z:

plot sn(1/2, m)

Compute a series expansion for cn(z, m):

series cn(z, m) in z

Compute compositions of elliptic functions and integrals:

JacobiDN(EllipticK(k), k)

Theta Functions

Plot a Jacobi theta function:

plot theta2(x, 1/3)

Evaluate a Neville theta function numerically:

NevilleThetaC(2.5, 0.3)

Plot a Neville theta function:

plot NevilleThetaN[x, 0.7]

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