DLMF:19.25.E2 (Q6506)

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DLMF:19.25.E2
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    test
    Π ⁡ ( α 2 , k ) - K ⁡ ( k ) = 1 3 ⁢ α 2 ⁢ R J ⁡ ( 0 , k ′ 2 , 1 , 1 - α 2 ) . complete-elliptic-integral-third-kind-Pi superscript 𝛼 2 𝑘 complete-elliptic-integral-first-kind-K 𝑘 1 3 superscript 𝛼 2 Carlson-integral-RJ 0 superscript superscript 𝑘 ′ 2 1 1 superscript 𝛼 2 {\displaystyle{\displaystyle\Pi\left(\alpha^{2},k\right)-K\left(k\right)=% \tfrac{1}{3}\alpha^{2}R_{J}\left(0,{k^{\prime}}^{2},1,1-\alpha^{2}\right).}}
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    DLMF id
    DLMF:19.25.E2
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