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DLMF:20.9#Ex1 - MaRDI portal

DLMF:20.9#Ex1 (Q7527)

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DLMF:20.9#Ex1
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    DLMF defining formula
    K ⁡ ( k ) = 1 2 ⁢ π ⁢ θ 3 2 ⁡ ( 0 | τ ) , complete-elliptic-integral-first-kind-K 𝑘 1 2 𝜋 Jacobi-theta-tau 3 2 0 𝜏 {\displaystyle{\displaystyle K\left(k\right)=\tfrac{1}{2}\pi{\theta_{3}^{2}}% \left(0\middle|\tau\right),}}
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