Definition:Incomplete Elliptic Integral of the Second Kind/Definition 1

From ProofWiki
Jump to navigation Jump to search

Special Function

$\ds \map E {k, \phi} = \int \limits_0^\phi \sqrt {1 - k^2 \sin^2 \phi} \rd \phi$

is the incomplete elliptic integral of the second kind, and is a function of the variables:

$k$, defined on the interval $0 < k < 1$
$\phi$, defined on the interval $0 \le \phi \le \pi / 2$.


Also see


Sources