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DLMF:19.2#Ex3
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Formula:6787
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MaRDI QID
Q6787
Label: DLMF:19.2#Ex3
Digital Library of Mathematical Functions ID
19.2#Ex3
D
(
k
)
=
D
(
π
/
2
,
k
)
=
(
K
(
k
)
-
E
(
k
)
)
/
k
2
,
complete-elliptic-integral-D
𝑘
elliptic-integral-third-kind-D
𝜋
2
𝑘
complete-elliptic-integral-first-kind-K
𝑘
complete-elliptic-integral-second-kind-E
𝑘
superscript
𝑘
2
{\displaystyle{\displaystyle D\left(k\right)=D\left(\pi/2,k\right)=(K\left(k% \right)-E\left(k\right))/k^{2},}}
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