EllipticPi

EllipticPi[n,m]

gives the complete elliptic integral of the third kind Π(nm).

EllipticPi[n,ϕ,m]

gives the incomplete elliptic integral Π(n;ϕm).

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
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  • For certain special arguments, EllipticPi automatically evaluates to exact values.
  • EllipticPi can be evaluated to arbitrary numerical precision.
  • EllipticPi automatically threads over lists.

Examples

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Basic Examples  (3)

Evaluate numerically:

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Series expansions:

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Scope  (7)

Generalizations & Extensions  (1)

Applications  (4)

Properties & Relations  (4)

Possible Issues  (3)

See Also

EllipticK  EllipticF  EllipticE

Tutorials

Introduced in 1988
(1.0)