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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

5*%e^(%i*10*2*%pi);

Calculate

pi

1000000 * 2 * pi;

Calculate

pi

pi:3.1415926535897;

Z12:1000*%e^(%i*(9.81...

Z23:500*%e^(%i*(88*pi...

Calculate

pi-sin

int((sin(x))^3,0,%pi);

Calculate

pi-plot2d
plot2d((x^2),[x,-2,2]);

plot2d((x^2),[x,-2,2]);

pi;

Calculate

pi-ratsubst-solve-sqrt

eq1: ln(1/d1/sqrt(2*p...

eq2: ln(1/d2/sqrt(2*p...

eq3: eq1=eq2;

Calculate

pi-tan

2+2;

1+1;

tan(Pi/2 -x);

Calculate

pi

p1:2.4E+5;

r1:0.04;

r2:0.02;

Calculate

pi-sqrt-tex

sqrt(%pi)/.5;

tex(sqrt(%pi)/.5);

Calculate

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

h1(x):=sin(2*x);

h2(x):=9*sin(4*x);

T:%pi;

Calculate