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Statements
F
(
ϕ
,
k
)
=
2
π
K
(
k
′
)
ln
(
4
Δ
+
cos
ϕ
)
-
θ
Δ
2
,
elliptic-integral-first-kind-F
italic-ϕ
𝑘
2
𝜋
complete-elliptic-integral-first-kind-K
superscript
𝑘
′
4
Δ
italic-ϕ
𝜃
superscript
Δ
2
{\displaystyle{\displaystyle F\left(\phi,k\right)=\frac{2}{\pi}K\left(k^{%
\prime}\right)\ln\left(\frac{4}{\Delta+\cos\phi}\right)-\theta\Delta^{2},}}
(
sin
ϕ
)
/
8
<
θ
<
(
ln
2
)
/
(
k
2
sin
ϕ
)
italic-ϕ
8
𝜃
2
superscript
𝑘
2
italic-ϕ
{\displaystyle{\displaystyle(\sin\phi)/8<\theta<(\ln 2)/(k^{2}\sin\phi)}}
π
{\displaystyle{\displaystyle\pi}}
K
(
k
)
complete-elliptic-integral-first-kind-K
𝑘
{\displaystyle{\displaystyle K\left(\NVar{k}\right)}}
cos
z
𝑧
{\displaystyle{\displaystyle\cos\NVar{z}}}
F
(
ϕ
,
k
)
elliptic-integral-first-kind-F
italic-ϕ
𝑘
{\displaystyle{\displaystyle F\left(\NVar{\phi},\NVar{k}\right)}}
ln
z
𝑧
{\displaystyle{\displaystyle\ln\NVar{z}}}
sin
z
𝑧
{\displaystyle{\displaystyle\sin\NVar{z}}}
ϕ
italic-ϕ
{\displaystyle{\displaystyle\phi}}
k
𝑘
{\displaystyle{\displaystyle k}}
k
′
superscript
𝑘
′
{\displaystyle{\displaystyle k^{\prime}}}
Δ
Δ
{\displaystyle{\displaystyle\Delta}}
Identifiers
