# Complete elliptic integral of the 3rd kind Π(n,k) Calculator

## Calculates the complete elliptic integral of the third kind Π(n,k). | |||

Complete elliptic integral of the 3rd kind Π(n,k)

[1-2] /2 | Disp-Num |

- Purpose of use
- To verify some Matlab code
- Comment/Request
- The first try (.5,.5) is way different than the result from my code or from Wolfram Mathematica's web site calculator, which agree with each other.
- from Keisan
- The function definition is different.

keisan: Π(n,k)=integral(0,1){dt/(1-n*t^2)/sqrt((1-t^2)(1-k^2*t^2))}

Wolfram: Π(n,m)=integral(0,1){dt/sqrt((1-t^2)(1-m*t^2))}

Therefor if convert k=sqrt(m), the same answer.

[1] 2013/03/16 18:06 Male / 50 years old level / A teacher / A researcher / Not at All /

- Purpose of use
- checking calculation results
- Comment/Request
- slow so ok for single calculations. looks like it uses a c++ library on the back end. would be faster if the script was on the page

[2] 2009/09/15 06:26 Male / 50 level / SOHO / Very /

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