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The Maxima on-line user's manual

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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-ratsimp

K : k;

D : ddA : y;

dB : y;

Calculate

pi

pi:3.141592653589793;

U1:40;

U2:800;

Calculate

pi-solve

y:arcsin(x)=pi;

solve(y,x);

Calculate

pi-sqrt

sqrt(1000 / pi) * 2 ;

Calculate

pi-plot2d-tan
plot2d((tan((x*%pi)/4)-x-2),[x,-4,4]);

plot2d((tan((x*%pi)/4...

Calculate

pi

f:50;

omega:(1/f)*%pi;

omega;

Calculate

pi-sin-solve

sin(a*%pi)=0;

solve(%,a);

Calculate

pi-sqrt

pi:3.141592654;

diam:17.72;

s=pi* diam ^2 / 2;

Calculate

pi-product

f1(n,h):= %e^( (2*%pi...

test(n):= product( f1...

z:test(2);

Calculate

pi-plot2d-sin-sqrt-subst-taylor
plot2d([WW], [x,2*%pi,16*%pi], [y,-1,2]);

Wkin : taylor(sqrt(1+...

WW : subst(sin(17/x*%...

plot2d([WW], [x,2*%pi...

Calculate