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The Maxima on-line user's manual

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Elliptic_f

Function: elliptic_f (<phi>, <m>) The incomplete elliptic integral of the first kind, defined as

plot2d([elliptic_f(phi,0.5)],[phi,0,%pi/2]);

integrate(1/sqrt(1 - m*sin(x)^2), x, 0, phi)

See also *note elliptic_e:: and *note elliptic_kc::.

(%o1)                                true
(%i2) 

Related Examples

elliptic_f-ev

ev(elliptic_f(%pi/2+%...

Calculate

elliptic_f

elliptic_f(%pi/2+%i,1);

Calculate

elliptic_f-plot2d
plot2d([elliptic_f(phi,0.1)],[phi,0,%pi/2]);

plot2d([elliptic_f(ph...

Calculate

elliptic_f

elliptic_f(pi/2,1);

Calculate

elliptic_f-float

float(elliptic_f(%pi/...

Calculate

elliptic_f-plot2d
plot2d([elliptic_f(phi,0.5)],[phi,0,%pi/2]);

plot2d([elliptic_f(ph...

Calculate

elliptic_f

? elliptic_f;

Calculate

elliptic_f-float

float(elliptic_f(%pi/...

Calculate

elliptic_f

elliptic_f(%pi/2,1);

Calculate

elliptic_f-plot2d
plot2d([elliptic_f(phi,0.9)],[phi,0,%pi/2]);

plot2d([elliptic_f(ph...

Calculate