Category:Elliptic Integrals of the First Kind
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This category contains results about Elliptic Integrals of the First Kind.
Definitions specific to this category can be found in Definitions/Elliptic Integrals of the First Kind.
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:
Complete Elliptic Integral of the First Kind
- $\ds \map K k = \int \limits_0^{\pi / 2} \frac {\d \phi} {\sqrt {1 - k^2 \sin^2 \phi} }$
is the complete elliptic integral of the first kind, and is a function of $k$, defined on the interval $0 < k < 1$.
Subcategories
This category has the following 2 subcategories, out of 2 total.