DLMF:19.25.E11 (Q6515): Difference between revisions

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Property / constraint
 

ϕ 1 2 π italic-ϕ 1 2 𝜋 {\displaystyle{\displaystyle\phi\neq\tfrac{1}{2}\pi}}

\phi\neq\tfrac{1}{2}\pi
Property / constraint: ϕ 1 2 π italic-ϕ 1 2 𝜋 {\displaystyle{\displaystyle\phi\neq\tfrac{1}{2}\pi}} / rank
 
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Revision as of 17:08, 30 December 2019

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DLMF:19.25.E11
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    E ( ϕ , k ) = - 1 3 k 2 R D ( c - k 2 , c , c - 1 ) + ( c - k 2 ) / ( c ( c - 1 ) ) , elliptic-integral-second-kind-E italic-ϕ 𝑘 1 3 superscript superscript 𝑘 2 Carlson-integral-RD 𝑐 superscript 𝑘 2 𝑐 𝑐 1 𝑐 superscript 𝑘 2 𝑐 𝑐 1 {\displaystyle{\displaystyle E\left(\phi,k\right)=-\tfrac{1}{3}{k^{\prime}}^{2% }R_{D}\left(c-k^{2},c,c-1\right)+\sqrt{(c-k^{2})/(c(c-1))},}}
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    ϕ 1 2 π italic-ϕ 1 2 𝜋 {\displaystyle{\displaystyle\phi\neq\tfrac{1}{2}\pi}}
    0 references