### The Maxima on-line user's manual

Algebra Calculator

#### Elliptic_pi

Function: elliptic_pi (<n>, <phi>, <m>) The incomplete elliptic integral of the third kind, defined as

integrate(1/(1-n*sin(x)^2)/sqrt(1 - m*sin(x)^2), x, 0, phi)

Only the derivative with respect to phi is known by Maxima.

(%o1)                                true
(%i2) 

### Related Examples

##### pi-romberg-sin

romberg(romberg(sin(x...

Calculate

##### pi-plot2d-sin-sqrt

A:sin(x);

sigma: 1;

scale: 1/sqrt(2*sigma...

Calculate

##### pi-plot2d-sin-sqrt-taylor

f(x):=sqrt(sin(x*%pi)...

f1(x):=taylor(f(x),x,...

plot2d([f1(x),f(x)],[...

Calculate

##### pi-plot2d-sin

plot2d (sin(x+2*%pi),...

Calculate

##### pi-plot2d-sin

plot2d ([sin(x),(2/%p...

plot2d ([sin(x),(2/(...

plot2d ([sin(x),(2/(9...

Calculate

##### pi-sqrt

sqrt(16200+(12+24*t-1...

Calculate

##### pi-tan

\pi;

'tan((3/2)*pi+a)^2 - ...

Calculate

##### pi-plot2d

pi:3.141592653589793;

U1:40;

U2:800;

Calculate

##### pi

((((%pi)^2/3)-4)*(sum...

Calculate

##### pi-plot2d

h1(t):= if mod(t,2*%p...

plot2d(h1(t),[t,-%pi,...

Calculate