Definition:Complete Elliptic Integral of the Second Kind/Definition 2
< Definition:Complete Elliptic Integral of the Second Kind(Redirected from Definition:Elliptic Integral of the Second Kind/Complete/Definition 2)
Jump to navigation
Jump to search
Special Function
- $\ds \map E k = \int \limits_0^1 \dfrac {\sqrt {1 - k^2 v^2} } {\sqrt {1 - v^2} } \rd v$
is the complete elliptic integral of the second kind, and is a function of $k$, defined on the interval $0 < k < 1$.
Also see
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $34.4$: Complete Elliptic Integral of the Second Kind