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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-sqrt

sqrt(2*%pi);

Calculate

pi-solve-sqrt

eq1:z=x^2+y^2;

eq2:z=7*y+8;

f(y,z):=sqrt(z-y^2);

Calculate

pi

ln(%pi);

Calculate

pi

s(f):=2*pi()*f;

s(1);

Calculate

pi-sin

a:sin(x+%pi);

a;

Calculate

pi-sin

sin(%pi)/5;

Calculate

pi-sin

pi:3.1415926535897;

rad:pi/180;

wt:2*pi*50*0.013;

Calculate

pi-plot2d-sin
plot2d(sin(%pi)/x,[x,-20,20]);

plot2d(sin(%pi)/x,[x,...

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

pi

f(x) = 100 *((x-2)/((...

f(%pi) ;

Calculate