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elliptic_kc-plot2d
plot2d([elliptic_kc(k)],[k,0,0.01]);

plot2d([elliptic_kc(k...

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elliptic_kc-plot2d
plot2d([elliptic_kc(k)],[k,0,0.1]);

plot2d([elliptic_kc(k...

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elliptic_kc-plot2d
plot2d([elliptic_kc(k)],[k,0,0.1]);

plot2d([elliptic_kc(k...

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elliptic_kc

elliptic_kc (1/4) ;

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elliptic_kc

elliptic_kc (5./9);

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elliptic_kc-plot2d
plot2d([elliptic_kc(k)],[k,0,0.5]);

plot2d([elliptic_kc(k...

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elliptic_kc

elliptic_kc (1/3);

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elliptic_kc

elliptic_kc (m);

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elliptic_kc

elliptic_kc (m);

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elliptic_kc-pi

elliptic_kc (pi);

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elliptic_kc

Run Example
(%i1)elliptic_kc (1/sqrt(2)) ;
                                            1
(%o1)                        elliptic_kc(-------)
                                         sqrt(2)
(%i2) 
Run Example
load(romberg);
(%o1)         /usr/share/maxima/5.21.1/share/numeric/romberg.lisp
(%i2) romberg((3-cos(x))^(-1/2),x,0,%pi/2);
(%o2)                          1.028056844406213
(%i3) romberg(1/sqrt(1-1/2*sin(x)^2),x,%pi/4,%pi/2);
(%o3)                          1.028056844406213
(%i4) float(elliptic_kc(1/sqrt(2))-elliptic_f(%pi/4,1/sqrt(2)));
(%o4)                          1.23937819168857
(%i5) float(elliptic_kc(1/sqrt(2)));
(%o5)                          2.085973698194937
(%i6) romberg(1/sqrt(1-1/2*sin(x)^2),x,0,%pi/2);
(%o6)                          1.854074381634691
(%i7) 
Run Example
load(romberg);
(%o1)         /usr/share/maxima/5.21.1/share/numeric/romberg.lisp
(%i2) romberg((3-cos(x))^(-1/2),x,0,%pi/2);
(%o2)                          1.028056844406213
(%i3) romberg(1/sqrt(1-1/2*sin(x)^2),x,%pi/4,%pi/2);
(%o3)                          1.028056844406213
(%i4) elliptic_kc(1/sqrt(2));
                                            1
(%o4)                        elliptic_kc(-------)
                                         sqrt(2)
(%i5) 

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