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DLMF:19.8#Ex10
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Formula:6919
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MaRDI QID
Q6919
Label: DLMF:19.8#Ex10
Digital Library of Mathematical Functions ID
19.8#Ex10
F
(
ϕ
,
k
)
=
1
2
(
1
+
k
1
)
F
(
ϕ
1
,
k
1
)
,
elliptic-integral-first-kind-F
italic-ϕ
𝑘
1
2
1
subscript
𝑘
1
elliptic-integral-first-kind-F
subscript
italic-ϕ
1
subscript
𝑘
1
{\displaystyle{\displaystyle F\left(\phi,k\right)=\tfrac{1}{2}(1+k_{1})F\left(% \phi_{1},k_{1}\right),}}
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