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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-plot2d
plot2d([y(x)], [x,-1,4]);

y(x):=(x-3)*(x+2)*(x-...

plot2d([y(x)], [x,-1,...

Calculate

pi-plot2d-tan
plot2d([tan((3/2)*x)],[x,0,((5/2)*%pi)],[y,-2,3],[color,green]);

plot2d([tan((3/2)*x)]...

Calculate

pi

x:%pi;

evaluate(x,10);

Calculate

pi-sin

Integrate(1/(2*%pi)*s...

Calculate

pi-sqrt

equ1;

4032000000=(pi)*((510...

Calculate

pi-plot2d-sin
plot2d(h1(x)+h2(x),[x,-%pi,%pi]);

h1(x):=3*sin(4*x);

h2(x):=5*sin(6*x);

T:%pi;

Calculate

pi-tan

tan((%3pi)/4);

Calculate

pi-plot2d-tan
plot2d((tan((x*%pi)/4)-x-2),[x,1.5,1.8],[y,-10,10]);

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

Calculate

pi-sqrt

l:(90/((sqrt(3)*%pi)+...

o:(30-3*l);

p:(o/(2*%pi));

Calculate

pi-product

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

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

z:test(2);

Calculate