DLMF:14.23.E6 (Q4952)

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DLMF:14.23.E6
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    test
    𝖰 ν μ ⁡ ( x ) = e ∓ μ ⁢ π ⁢ i / 2 ⁢ Γ ⁡ ( ν + μ + 1 ) ⁢ 𝑸 ν μ ⁡ ( x ± i ⁢ 0 ) ± 1 2 ⁢ π ⁢ i ⁢ e ± μ ⁢ π ⁢ i / 2 ⁢ P ν μ ⁡ ( x ± i ⁢ 0 ) . Ferrers-Legendre-Q-first-kind 𝜇 𝜈 𝑥 plus-or-minus superscript 𝑒 minus-or-plus 𝜇 𝜋 𝑖 2 Euler-Gamma 𝜈 𝜇 1 associated-Legendre-black-Q 𝜇 𝜈 plus-or-minus 𝑥 𝑖 0 1 2 𝜋 𝑖 superscript 𝑒 plus-or-minus 𝜇 𝜋 𝑖 2 Legendre-P-first-kind 𝜇 𝜈 plus-or-minus 𝑥 𝑖 0 {\displaystyle{\displaystyle\mathsf{Q}^{\mu}_{\nu}\left(x\right)=e^{\mp\mu\pi i% /2}\Gamma\left(\nu+\mu+1\right)\boldsymbol{Q}^{\mu}_{\nu}\left(x\pm i0\right)% \pm\tfrac{1}{2}\pi ie^{\pm\mu\pi i/2}P^{\mu}_{\nu}\left(x\pm i0\right).}}
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    DLMF id
    DLMF:14.23.E6
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