BUILT-IN MATHEMATICA SYMBOL

EllipticPi

EllipticPi[n, m]
gives the complete elliptic integral of the third kind .

EllipticPi[n, , m]
gives the incomplete elliptic integral .

Details Details

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

Examples Examples open all close all

Basic Examples (3)Basic Examples (3)

Evaluate numerically:

Out[1]=

Out[1]=

Series expansions:

Out[1]=

Out[2]=

Scope (7)Scope (7)

Generalizations & Extensions (1)Generalizations & Extensions (1)

Applications (4)Applications (4)

Properties & Relations (4)Properties & Relations (4)

Possible Issues (3)Possible Issues (3)

Top

See Also See Also

EllipticK EllipticF EllipticE

Tutorials Tutorials

Elliptic Integrals and Elliptic Functions

Related Guides Related Guides

Related Links Related Links

New in 1

Mathematica 9 is now available!

400+ new features, including the new Wolfram Predictive Interface, social network analysis, enterprise CDF deployment, and more »

Try Now

Buy/Upgrade

New to Mathematica? Find your learning path »

Have a question? Ask support »

© 2013 About Wolfram