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DLMF:22.9.E15
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Formula:7700
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MaRDI QID
Q7700
Label: DLMF:22.9.E15
Digital Library of Mathematical Functions ID
22.9.E15
d
1
,
3
(
2
)
d
2
,
3
(
2
)
d
3
,
3
(
2
)
=
κ
2
+
k
2
-
1
1
-
κ
2
(
d
1
,
3
(
2
)
+
d
2
,
3
(
2
)
+
d
3
,
3
(
2
)
)
,
superscript
subscript
𝑑
1
3
2
superscript
subscript
𝑑
2
3
2
superscript
subscript
𝑑
3
3
2
superscript
𝜅
2
superscript
𝑘
2
1
1
superscript
𝜅
2
superscript
subscript
𝑑
1
3
2
superscript
subscript
𝑑
2
3
2
superscript
subscript
𝑑
3
3
2
{\displaystyle{\displaystyle d_{1,3}^{(2)}d_{2,3}^{(2)}d_{3,3}^{(2)}=\frac{% \kappa^{2}+k^{2}-1}{1-\kappa^{2}}\left(d_{1,3}^{(2)}+d_{2,3}^{(2)}+d_{3,3}^{(2% )}\right),}}
Constraint(s)
Symbols List
k
𝑘
{\displaystyle{\displaystyle k}}
: modulus
d
m
,
p
(
r
)
superscript
subscript
𝑑
𝑚
𝑝
𝑟
{\displaystyle{\displaystyle d_{m,p}^{(r)}}}
: cyclic quantity
κ
𝜅
{\displaystyle{\displaystyle\kappa}}
: change of variable
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