DLMF:19.6#Ex1 (Q6141)

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DLMF:19.6#Ex1
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    Defining formula
    K ⁡ ( 0 ) = E ⁡ ( 0 ) = K ′ ⁡ ( 1 ) = E ′ ⁡ ( 1 ) = 1 2 ⁢ π , complete-elliptic-integral-first-kind-K 0 complete-elliptic-integral-second-kind-E 0 complementary-complete-elliptic-integral-first-kind-K 1 complementary-complete-elliptic-integral-second-kind-E 1 1 2 𝜋 {\displaystyle{\displaystyle K\left(0\right)=E\left(0\right)={K^{\prime}}\left% (1\right)={E^{\prime}}\left(1\right)=\tfrac{1}{2}\pi,}}
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    DLMF id
    DLMF:19.6#Ex1
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