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Elliptic_kc

Function: elliptic_kc (<m>) The complete elliptic integral of the first kind, defined as

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

For certain values of m, the value of the integral is known in terms of Gamma functions. Use makegamma to evaluate them.

(%o1)                                true
(%i2) 

Related Examples

elliptic_kc

? elliptic_kc;

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elliptic_kc

? elliptic_kc;

Calculate