DLMF:22.15.E20
(Q7115)
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No description defined
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English
DLMF:22.15.E20
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Statements
Defining formula
arcsc
(
x
,
k
)
=
∫
0
x
d
t
(
1
+
t
2
)
(
1
+
k
′
2
t
2
)
,
inverse-Jacobi-elliptic-sc
𝑥
𝑘
superscript
subscript
0
𝑥
𝑡
1
superscript
𝑡
2
1
superscript
superscript
𝑘
′
2
superscript
𝑡
2
{\displaystyle{\displaystyle\operatorname{arcsc}\left(x,k\right)=\int_{0}^{x}% \frac{\mathrm{d}t}{\sqrt{(1+t^{2})(1+{k^{\prime}}^{2}t^{2})}},}}
0 references
DLMF id
DLMF:22.15.E20
0 references
constraint
-
∞
<
x
<
∞
𝑥
{\displaystyle{\displaystyle-\infty<x<\infty}}
0 references
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