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SciPy

This is documentation for an old release of SciPy (version 0.17.1). Read this page in the documentation of the latest stable release (version 1.15.1).

scipy.special.ellipk

scipy.special.ellipk(m)[source]

Complete elliptic integral of the first kind.

This function is defined as

K(m)=π/20[1msin(t)2]1/2dt
Parameters:

m : array_like

The parameter of the elliptic integral.

Returns:

K : array_like

Value of the elliptic integral.

See also

ellipkm1
Complete elliptic integral of the first kind around m = 1
ellipkinc
Incomplete elliptic integral of the first kind
ellipe
Complete elliptic integral of the second kind
ellipeinc
Incomplete elliptic integral of the second kind

Notes

For more precision around point m = 1, use ellipkm1.

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