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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-solve-sqrt

x = 1000;

y = sqrt(x / pi) * 2 ;

solve(y);

Calculate

pi

pi : 3.1415926;

f = pi * (272^2 - 154...

Calculate

pi-print-sin

f(x):=sin(pi);

print (x);

Calculate

pi-sin

sin(-%pi);

Calculate

pi-plot2d-sin
plot2d(sin(x*pi),[x,-2,2]);

plot2d(sin(x*pi),[x,-...

Calculate

pi-sqrt

e1: 4032000000=(pi)*(...

Calculate

pi-solve

z: V1*p1/T1 = V2*p2/T2;

g: p*V = n*R*T;

R: 8.314472;

Calculate

pi-solve-sqrt

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

eq1: ln(1/d2/sqrt(2*p...

eq3: eq1=eq2;

Calculate