DLMF:14.5.E21 (Q4733)

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DLMF:14.5.E21
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    test
    𝖯 - 1 2 ⁡ ( cos ⁡ θ ) = 2 π ⁢ K ⁡ ( sin ⁡ ( 1 2 ⁢ θ ) ) , shorthand-Ferrers-Legendre-P-first-kind 1 2 𝜃 2 𝜋 complete-elliptic-integral-first-kind-K 1 2 𝜃 {\displaystyle{\displaystyle\mathsf{P}_{-\frac{1}{2}}\left(\cos\theta\right)=% \frac{2}{\pi}K\left(\sin\left(\tfrac{1}{2}\theta\right)\right),}}
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    DLMF id
    DLMF:14.5.E21
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