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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) 

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pi

2.0 + (%pi);

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tan(((−3)*(%pi))/4);

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pi:3.1415926535897;

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pi-sqrt

l:(90/((sqrt(3)*%pi)+...

o:(30-3*l);

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4032000000=(pi)*((510...

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pi

a: 3+%i*2;

b: 5+%i*1;

c: a+b;

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pi-sin

n:1;

sin(n*%pi)/n/%pi-sin(...

sin(3/4*n*%pi)/n/%pi;

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