Definition:Incomplete Elliptic Integral of the Second Kind/Definition 1
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:
Also see
Sources
- 1968: Murray R. Spiegel: Mathematical Handbook of Formulas and Tables ... (previous) ... (next): $34.3$: Incomplete Elliptic Integral of the Second Kind
- 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $1$: The Nature of Differential Equations: $\S 5$: Falling Bodies and Other Rate Problems