Definition:Elliptic Integral of the Second Kind/Incomplete/Definition 1
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Special Function
- $\displaystyle E \left({k, \phi}\right) = \int \limits_0^\phi \sqrt{1 - k^2 \sin^2 \phi} \, \mathrm d \phi$
is the incomplete elliptic integral of the second kind, and is a function of the variables:
Also see
- Definition:Incomplete Elliptic Integral of the First Kind
- Definition:Complete Elliptic Integral of the First Kind
- Definition:Incomplete Elliptic Integral of the Third Kind
- Definition:Complete Elliptic Integral of the Third Kind
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): $\S 1.5$: Falling Bodies and Other Rate Problems