DLMF:14.17.E6 (Q4887)

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DLMF:14.17.E6
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    test
    ∫ - 1 1 𝖯 l m ⁡ ( x ) ⁢ 𝖯 n m ⁡ ( x ) ⁢ d x = ( n + m ) ! ( n - m ) ! ⁢ ( n + 1 2 ) ⁢ δ l , n , superscript subscript 1 1 Ferrers-Legendre-P-first-kind 𝑚 𝑙 𝑥 Ferrers-Legendre-P-first-kind 𝑚 𝑛 𝑥 𝑥 𝑛 𝑚 𝑛 𝑚 𝑛 1 2 Kronecker 𝑙 𝑛 {\displaystyle{\displaystyle\int_{-1}^{1}\mathsf{P}^{m}_{l}\left(x\right)% \mathsf{P}^{m}_{n}\left(x\right)\mathrm{d}x=\frac{(n+m)!}{(n-m)!\left(n+\frac{% 1}{2}\right)}\delta_{l,n},}}
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    DLMF:14.17.E6
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