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 Documentation / Mathematica / Built-in Functions / Mathematical Functions / Elliptic Integrals  /
EllipticPi

  • EllipticPi[ n , m ] gives the complete elliptic integral of the third kind .
  • EllipticPi[ n ,, m ] gives the incomplete elliptic integral .
  • Mathematical function (see Section A.3.10).
  • .
  • .
  • See Section 3.2.11 for a discussion of argument conventions for elliptic integrals.
  • See the Mathematica book: Section 3.2.11.

    Further Examples

    This is the definition.

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    Integrate::gener: Unable to check convergence

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    Setting gives the complete elliptic integral of the third kind.

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    This is a plot of the complete elliptic integral.

    Evaluate the cell to see the graphic.

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    These are the partial derivatives.

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    In[5]:=

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