Category:Definitions/Incomplete Elliptic Integrals
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This category contains definitions related to Incomplete Elliptic Integrals.
Related results can be found in Category:Incomplete Elliptic Integrals.
Incomplete Elliptic Integral of the First Kind
- $\ds \map F {k, \phi} = \int \limits_0^\phi \frac {\d \phi} {\sqrt {1 - k^2 \sin^2 \phi} }$
is the incomplete elliptic integral of the first kind, and is a function of the variables:
Incomplete Elliptic Integral of the Second Kind
- $\ds \map E {k, \phi} = \int \limits_0^\phi \sqrt {1 - k^2 \sin^2 \phi} \rd \phi$
is the incomplete elliptic integral of the second kind, and is a function of the variables:
Incomplete Elliptic Integral of the Third Kind
- $\ds \map \Pi {k, n, \phi} = \int \limits_0^\phi \frac {\d \phi} {\paren {1 + n \sin^2 \phi} \sqrt{1 - k^2 \sin^2 \phi} }$
is the incomplete elliptic integral of the third kind, and is a function of the variables:
Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Definitions/Incomplete Elliptic Integrals"
The following 4 pages are in this category, out of 4 total.