DLMF:14.12.E9 (Q4830)

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DLMF:14.12.E9
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    test
    𝑸 n m ⁡ ( x ) = 1 n ! ⁢ ∫ 0 u ( x - ( x 2 - 1 ) 1 / 2 ⁢ cosh ⁡ t ) n ⁢ cosh ⁡ ( m ⁢ t ) ⁢ d t , associated-Legendre-black-Q 𝑚 𝑛 𝑥 1 𝑛 superscript subscript 0 𝑢 superscript 𝑥 superscript superscript 𝑥 2 1 1 2 𝑡 𝑛 𝑚 𝑡 𝑡 {\displaystyle{\displaystyle\boldsymbol{Q}^{m}_{n}\left(x\right)=\frac{1}{n!}% \int_{0}^{u}\left(x-\left(x^{2}-1\right)^{1/2}\cosh t\right)^{n}\cosh\left(mt% \right)\mathrm{d}t,}}
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    DLMF id
    DLMF:14.12.E9
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