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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

a= 1+(1)/(2*pi);

b= 1+(1)/(2*pi);

c=(1)/(2*pi);

Calculate

pi-sin-solve

a: sin(1/180*%pi);

solve(a);

Calculate

pi-plot2d-sin
plot2d( [sin(x),f(x)], [x,-1,1] );

f(x):=(4/%pi)*( (sin(...

plot2d( [sin(x),f(x)]...

Calculate

pi-solve

funktion:W=(D^4-d^4)/...

solve(funktion,d);

W:200;

Calculate

pi-sin

f(x):=x^2+x^3-sin(%pi);

Calculate

pi

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

h^2;

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

pi-plot2d-sin
plot2d( (x + 1) * sin(3*x), [x, (4*pi)/9, (5*pi)/9] );

pi:3.141592654;

plot2d( (x + 1) * sin...

Calculate

pi-sqrt

F1=1+1/sqrt(2*pi);

Calculate