DLMF:14.12.E12 (Q4833)

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DLMF:14.12.E12
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    test
    𝑸 n m ⁡ ( x ) = 1 ( n - m ) ! ⁢ P n m ⁡ ( x ) ⁢ ∫ x ∞ d t ( t 2 - 1 ) ⁢ ( P n m ⁡ ( t ) ) 2 , associated-Legendre-black-Q 𝑚 𝑛 𝑥 1 𝑛 𝑚 Legendre-P-first-kind 𝑚 𝑛 𝑥 superscript subscript 𝑥 𝑡 superscript 𝑡 2 1 superscript Legendre-P-first-kind 𝑚 𝑛 𝑡 2 {\displaystyle{\displaystyle\boldsymbol{Q}^{m}_{n}\left(x\right)=\frac{1}{(n-m% )!}P^{m}_{n}\left(x\right)\int_{x}^{\infty}\frac{\mathrm{d}t}{\left(t^{2}-1% \right)\left(\displaystyle P^{m}_{n}\left(t\right)\right)^{2}},}}
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    DLMF id
    DLMF:14.12.E12
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