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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-residue-sin

residue ((z**3)*sin(z...

residue (sin(a*x)/x*...

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pi-sqrt

sqrt(200/pi);

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pi-solve

a: ((n-2)/n)*%pi;

solve (n);

Calculate

pi-sqrt

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

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pi

((10^144)*%pi)-[(10^1...

Calculate

pi-ratsubst-solve-sqrt

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

eq2: ln(1/d2/sqrt(2*p...

eq3: eq1=eq2;

Calculate

pi

Tm : 120*10^-6;

Amp : 1;

wo : 2*%pi;

Calculate

pi-sin

2*k*(%pi)+1/2+sin(2*k...

Calculate

pi-sqrt

pi:3.141592654;

diam:17.72;

s=pi* diam ^2 / 2;

Calculate

pi-sin-subst

eq1:5*x+pi;

eq2:"world! ";

bb:subst(3.14,pi,eq1);

Calculate