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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-sin

"y = {e^{-x^3}*sin(%p...

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pi

(-(15/(8*%pi))^(1/2))...

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pi-sqrt

pi:3.141592654;

s:1000;

sqrt (700 * pi)/ 4;

Calculate

pi

2+2;

%pi;

Calculate

pi-plot2d-sin
plot2d( [A*sin((%pi/6) + x), B*sin(5*%pi/18 + x) ], [x,0, %pi/2] );

A: sin(70/180*%pi) ;

B: sin(50/180*%pi) ;

plot2d( [A*sin((%pi/6...

Calculate

pi

pi: 3.14159265358979;

pi;

Calculate

pi-solve-sqrt-tex

Rs: 0.0042;

a: 0.005;

Lm: 0.0057;

Calculate

pi

p1:2.4E+5;

r1:0.04;

r2:0.02;

Calculate

pi-sum

f(m,n):=((m*%pi)^(2*n...

sum(f(m,2),m,1,3);

Calculate