DLMF:14.6.E5 (Q4747)

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DLMF:14.6.E5
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    Defining formula
    ( ν + 1 ) m ⁢ 𝑸 ν m ⁡ ( x ) = ( - 1 ) m ⁢ ( x 2 - 1 ) m / 2 ⁢ d m 𝑸 ν ⁡ ( x ) d x m . Pochhammer 𝜈 1 𝑚 associated-Legendre-black-Q 𝑚 𝜈 𝑥 superscript 1 𝑚 superscript superscript 𝑥 2 1 𝑚 2 derivative shorthand-associated-Legendre-black-Q 𝜈 𝑥 𝑥 𝑚 {\displaystyle{\displaystyle{\left(\nu+1\right)_{m}}\boldsymbol{Q}^{m}_{\nu}% \left(x\right)=(-1)^{m}\left(x^{2}-1\right)^{m/2}\frac{{\mathrm{d}}^{m}% \boldsymbol{Q}_{\nu}\left(x\right)}{{\mathrm{d}x}^{m}}.}}
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    DLMF id
    DLMF:14.6.E5
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