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Statements
κ
ζ
-
4
μ
2
-
2
μ
arctan
(
κ
ζ
-
4
μ
2
2
μ
)
=
1
2
(
X
-
π
μ
)
-
μ
arctan
(
x
κ
-
2
μ
2
μ
X
)
+
κ
arcsin
(
X
2
κ
2
-
μ
2
)
,
𝜅
𝜁
4
superscript
𝜇
2
2
𝜇
𝜅
𝜁
4
superscript
𝜇
2
2
𝜇
1
2
𝑋
𝜋
𝜇
𝜇
𝑥
𝜅
2
superscript
𝜇
2
𝜇
𝑋
𝜅
𝑋
2
superscript
𝜅
2
superscript
𝜇
2
{\displaystyle{\displaystyle\sqrt{\kappa\zeta-4\mu^{2}}-2\mu\operatorname{%
arctan}\left(\frac{\sqrt{\kappa\zeta-4\mu^{2}}}{2\mu}\right)=\tfrac{1}{2}(X-%
\pi\mu)-\mu\operatorname{arctan}\left(\frac{x\kappa-2\mu^{2}}{\mu X}\right)+%
\kappa\operatorname{arcsin}\left(\frac{X}{2\sqrt{\kappa^{2}-\mu^{2}}}\right),}}
2
κ
-
2
κ
2
-
μ
2
≤
x
<
2
κ
+
2
κ
2
-
μ
2
2
𝜅
2
superscript
𝜅
2
superscript
𝜇
2
𝑥
2
𝜅
2
superscript
𝜅
2
superscript
𝜇
2
{\displaystyle{\displaystyle 2\kappa-2\sqrt{\kappa^{2}-\mu^{2}}\leq x<2\kappa+%
2\sqrt{\kappa^{2}-\mu^{2}}}}
π
{\displaystyle{\displaystyle\pi}}
arcsin
z
𝑧
{\displaystyle{\displaystyle\operatorname{arcsin}\NVar{z}}}
arctan
z
𝑧
{\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}
x
𝑥
{\displaystyle{\displaystyle x}}
X
𝑋
{\displaystyle{\displaystyle X}}
Identifiers
