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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*x+1)/2=k*2*pi;

Calculate

pi-plot2d-sin-sum
plot2d([y,1,-1],[x,0,%pi]);

y:(4/%pi)*sum(sin(2*k...

plot2d([y,1,-1],[x,0,...

Calculate

pi-sin

sin((1/2)*%pi);

Calculate

pi-solve-sqrt

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

eq2:z=7*y+8;

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

Calculate

pi

20 = 1/3 * pi() * r^2...

Calculate

pi

f=(1/(5*%pi))*suma;

Calculate

pi

h = 6.62606957e-34/2/...

h^2;

Calculate

pi-solve-sqrt

x:1000;

y=sqrt(x / pi) * 2 ;

solve (x,y);

Calculate

pi-sqrt

l:0.76;

EI:2091394;

m:95;

Calculate

pi

a(a):=a*33*(pi);

Calculate