DLMF:14.17.E16 (Q4897)

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DLMF:14.17.E16
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    test
    ∫ - 1 1 𝖯 l m ⁡ ( x ) ⁢ 𝖰 n m ⁡ ( x ) ⁢ d x = ( 1 - ( - 1 ) l + n ) ⁢ ( l + m ) ! ( l - n ) ⁢ ( l + n + 1 ) ⁢ ( l - m ) ! , superscript subscript 1 1 Ferrers-Legendre-P-first-kind 𝑚 𝑙 𝑥 Ferrers-Legendre-Q-first-kind 𝑚 𝑛 𝑥 𝑥 1 superscript 1 𝑙 𝑛 𝑙 𝑚 𝑙 𝑛 𝑙 𝑛 1 𝑙 𝑚 {\displaystyle{\displaystyle\int_{-1}^{1}\mathsf{P}^{m}_{l}\left(x\right)% \mathsf{Q}^{m}_{n}\left(x\right)\mathrm{d}x=\frac{\left(1-(-1)^{l+n}\right)(l+% m)!}{(l-n)(l+n+1)(l-m)!},}}
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    DLMF:14.17.E16
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