%k
==

Jacobi's complete elliptic integral



Calling Sequence
~~~~~~~~~~~~~~~~


::

    [K]=%k(m)




Arguments
~~~~~~~~~

:m parameter of the elliptic integral `0<m<1` ( `m` can be a vector)
: :K value of the elliptic integral from 0 to 1 on the real axis
:



Description
~~~~~~~~~~~

Calculates Jacobi's complete elliptic integral of the first kind :



References
~~~~~~~~~~

Abramowitz and Stegun page 598



Examples
~~~~~~~~


::

    m=0.4;
    `%asn`_(1,m)
    %k(m)




See Also
~~~~~~~~


+ `%asn`_ elliptic integral


.. _%asn: percentasn.html