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DLMF:19.2#Ex3

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Formula:6787
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MaRDI QIDQ6787

  • 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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