DLMF:19.21.E10
(Q6428)
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No description defined
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English
DLMF:19.21.E10
No description defined
Statements
Defining formula
2
R
G
(
x
,
y
,
z
)
=
z
R
F
(
x
,
y
,
z
)
-
1
3
(
x
-
z
)
(
y
-
z
)
R
D
(
x
,
y
,
z
)
+
x
y
/
z
,
2
Carlson-integral-RG
𝑥
𝑦
𝑧
𝑧
Carlson-integral-RF
𝑥
𝑦
𝑧
1
3
𝑥
𝑧
𝑦
𝑧
Carlson-integral-RD
𝑥
𝑦
𝑧
𝑥
𝑦
𝑧
{\displaystyle{\displaystyle 2R_{G}\left(x,y,z\right)=zR_{F}\left(x,y,z\right)% -\tfrac{1}{3}(x-z)(y-z)R_{D}\left(x,y,z\right)+\sqrt{xy/z},}}
0 references
DLMF id
DLMF:19.21.E10
0 references
constraint
z
≠
0
𝑧
0
{\displaystyle{\displaystyle z\neq 0}}
0 references
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