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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.

    In[1]:=

    Integrate::gener: Unable to check convergence

    Out[1]=

    Setting gives the complete elliptic integral of the third kind.

    In[2]:=

    Out[2]=

    This is a plot of the complete elliptic integral.

    Evaluate the cell to see the graphic.

    In[3]:=

    These are the partial derivatives.

    In[4]:=

    Out[4]=

    In[5]:=

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