Symbols:K/Complete Elliptic Integral of the First Kind

Complete Elliptic Integral of the First Kind

$\map K k$

$\ds \map K k = \int \limits_0^{\pi / 2} \frac {\d \phi} {\sqrt {1 - k^2 \sin^2 \phi} }$

is the complete elliptic integral of the first kind, and is a function of $k$, defined on the interval $0 < k < 1$.

The $\LaTeX$ code for \(\map K k\) is \map K k .

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): K